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Test Review

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For homework you will complete the second half of the practice test & study. ... Go back through the entire practice test and check your work make sure you ... – PowerPoint PPT presentation

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Title: Test Review


1
Test Review
  • Chapter 10 - Polynomials

2
Format for Next 2 Days
  • Monday we will review the first half of the
    topics on the test. For homework you will
    complete the first half of the practice test.
  • Tuesday we will answer questions on first half,
    then cover the second half of the topics on the
    test. For homework you will complete the second
    half of the practice test study.

3
Descending Order
  • Descending Order means to rearrange the
    polynomial into decreasing powers of x (from
    highest to lowest)
  • x - 3x4 x2 - 6

4
Descending Order
  • Descending Order means to rearrange the
    polynomial into decreasing powers of x (from
    highest to lowest)
  • x - 3x4 x2 6
  • Whats the largest power of x?

5
Descending Order
  • Descending Order means to rearrange the
    polynomial into decreasing powers of x (from
    highest to lowest)
  • x - 3x4 x2 6
  • Whats the largest power of x?
  • Start with x4 and work down to constant
  • Remember to keep the signs!

6
Descending Order
  • Descending Order means to rearrange the
    polynomial into decreasing powers of x (from
    highest to lowest)
  • x - 3x4 x2 6
  • Whats the largest power of x?
  • Start with x4 and work down to constant
  • Remember to keep the signs!
  • -3x4 x2 x - 6

7
Degree Leading Coefficient
  • Term a grouping of numbers and exponents
    connected via multiplication/division. Terms are
    separated by addition/subtraction.
  • Degree is the highest exponent in any single term
  • Leading Coefficient is the coefficient of the
    term containing the highest degree

8
Name the number of terms, degree, and leading
coefficient
  • 4x x3 8x4 5

9
Name the number of terms, degree, and leading
coefficient
  • 4x x3 8x4 5

Term 1
Term 2
Term 3
Term 4
10
Name the number of terms, degree, and leading
coefficient
  • 4x x3 8x4 5

Term 1
Term 2
Term 3
Term 4
4 Terms!
11
Name the number of terms, degree, and leading
coefficient
  • 4x x3 8x4 5

4 is the highest exponent, so the degree of the
polynomial is 4!
12
Name the number of terms, degree, and leading
coefficient
  • 4x x3 8x4 5

8x4 is the term with the highest degree, so its
coefficient is the Leading Coefficient.The
Leading Coefficient is 8!
13
Classifying Polynomials
  • By Degree0- Constant1- Linear2- Quadratic
  • By Number of Terms1- Monomial2- Binomial3-
    Trinomial

14
Classifying Polynomials
  • By Degree0- Constant1- Linear2- Quadratic
  • By Number of Terms1- Monomial2- Binomial3-
    Trinomial

3x - 4 5x2 6x2 - x 4
15
Classifying Polynomials
  • By Degree0- Constant1- Linear2- Quadratic
  • By Number of Terms1- Monomial2- Binomial3-
    Trinomial

3x - 4 5x2 6x2 - x 4 Linear
Binomial Quadratic Monomial Quadratic Trinomial
16
Adding Polynomials
  • You add polynomials by combining like terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x5 3x2 5) (x2 2x5 9)

17
Adding Polynomials
  • You add polynomials by combining like terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x5 3x2 5) (x2 2x5 9)
  • 2x5

18
Adding Polynomials
  • You add polynomials by combining like terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x5 3x2 5) (x2 2x5 9)
  • 2x5 - 2x2

19
Adding Polynomials
  • You add polynomials by combining like terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x5 3x2 5) (x2 2x5 9)
  • 2x5 - 2x2 - 4

20
Subtracting Polynomials
  • First you change the subtracted term by flipping
    the signs
  • Then you add the polynomials by combining like
    terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x4 3x2 5) - (x2 2x5 9)

21
Subtracting Polynomials
  • First you change the subtracted term by flipping
    the signs
  • Then you add the polynomials by combining like
    terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x4 3x2 5) (-x2 2x5 9)

22
Subtracting Polynomials
  • First you change the subtracted term by flipping
    the signs
  • Then you add the polynomials by combining like
    terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x4 3x2 5) (-x2 2x5 9)
  • 2x5

23
Subtracting Polynomials
  • First you change the subtracted term by flipping
    the signs
  • Then you add the polynomials by combining like
    terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x4 3x2 5) (-x2 2x5 9)
  • 2x5 4x4

24
Subtracting Polynomials
  • First you change the subtracted term by flipping
    the signs
  • Then you add the polynomials by combining like
    terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x4 3x2 5) (-x2 2x5 9)
  • 2x5 4x4 4x2

25
Subtracting Polynomials
  • First you change the subtracted term by flipping
    the signs
  • Then you add the polynomials by combining like
    terms.
  • Find the highest degree and work your way down to
    the constant term
  • (4x4 3x2 5) (-x2 2x5 9)
  • 2x5 4x4 4x2 14

26
End of Day One!
  • For homework tonight, complete the first half of
    the practice test!
  • Be prepared to ask any final questions about the
    test materials tomorrow (even the stuff we
    havent covered yet)

27
Test Review
  • DAY 2

28
Format for Next 2 Days
  • Monday we will review the first half of the
    topics on the test. For homework you will
    complete the first half of the practice test.
  • Tuesday we will answer questions on first half,
    then cover the second half of the topics on the
    test. For homework you will complete the second
    half of the practice test study.

29
Multiplying Monomial x Polyomial
  • Use the distributive property to multiply each
    term of the polynomial by the binomial
  • 3x2 (-2x3 4x2 8x 7)

30
Multiplying Monomial x Polynomial
  • Use the distributive property to multiply each
    term of the polynomial by the binomial
  • 3x2 (-2x3 4x2 8x 7)
  • -6x5 12x4 24x3 21x2

31
Multiplying Monomial x Polynomial
  • Use the distributive property to multiply each
    term of the polynomial by the binomial
  • 3x2 (-2x3 4x2 8x 7)
  • -6x5 12x4 24x3 21x2

32
Multiplying Monomial x Polynomial
  • Use the distributive property to multiply each
    term of the polynomial by the binomial
  • 3x2 (-2x3 4x2 8x 7)
  • -6x5 12x4 24x3 21x2

33
Multiplying Monomial x Polynomial
  • Use the distributive property to multiply each
    term of the polynomial by the binomial
  • 3x2 (-2x3 4x2 8x 7)
  • -6x5 12x4 24x3 21x2

34
FOIL
  • FOIL Stands for First, Outer, Inner, Last
  • It tells you what terms need to be multiplied
  • (4x 5) (-2x 1)

35
FOIL
  • FOIL Stands for First, Outer, Inner, Last
  • It tells you what terms need to be multiplied
  • (4x 5) (-2x 1)
  • -8x2 4x 10x 5

36
FOIL
  • FOIL Stands for First, Outer, Inner, Last
  • It tells you what terms need to be multiplied
  • (4x 5) (-2x 1)
  • -8x2 4x 10x 5

37
FOIL
  • FOIL Stands for First, Outer, Inner, Last
  • It tells you what terms need to be multiplied
  • (4x 5) (-2x 1)
  • -8x2 4x 10x 5

38
FOIL
  • FOIL Stands for First, Outer, Inner, Last
  • It tells you what terms need to be multiplied
  • (4x 5) (-2x 1)
  • -8x2 4x 10x 5

39
FOIL
  • FOIL Stands for First, Outer, Inner, Last
  • It tells you what terms need to be multiplied
  • (4x 5) (-2x 1)
  • -8x2 4x 10x 5
  • -8x2 6x 5

40
Special Patterns
  • Sum and Difference
  • (ab)(a-b) a2 b2
  • Square of a binomial
  • (ab)2 a2 2ab b2

41
Special Patterns
  • Sum and Difference
  • (ab)(a-b) a2 b2
  • (2x 8) (2x 8)
  • Square of a binomial
  • (ab)2 a2 2ab b2

42
Special Patterns
  • Sum and Difference
  • (ab)(a-b) a2 b2
  • (2x 8) (2x 8)
  • 4x2 - 64
  • Square of a binomial
  • (ab)2 a2 2ab b2

43
Special Patterns
  • Sum and Difference
  • (ab)(a-b) a2 b2
  • (2x 8) (2x 8)
  • 4x2 - 64
  • Square of a binomial
  • (ab)2 a2 2ab b2
  • (2x 8)2

44
Special Patterns
  • Sum and Difference
  • (ab)(a-b) a2 b2
  • (2x 8) (2x 8)
  • 4x2 - 64
  • Square of a binomial
  • (ab)2 a2 2ab b2
  • (2x 8)2
  • 4x2 32x 64

45
End of Day Two!
  • For homework tonight, complete the Second half of
    the practice test!
  • Go back through the entire practice test and
    check your work make sure you know how to do
    every problem!
  • Get a good nights rest, and eat breakfast! You
    would be surprised.
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