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Q2 Wk2 CH5 FACTORING POLYS

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There are 10 problems = 0.25 points each for a total of 2.5 points. Partial credit may be earned.

Problem 1-Find the pair of factors with a product of 18 & a sum of -9.
x2 - 9x + 18 = 0

Factor Problems 2-10.

Problem 2
x2 - 14x + 49 =

Problem 3
15y4 - 35y3 + 10y2 =

Problem 4
x3 + 2x2 + 3x + 6 =

Problem 5
x2 - 9x =

Problem 6
x3 + 6x2 - 7x =

Problem 7
14x2 + 64x - 30 =

Problem 8
25x2 - 9

Problem 9
x3 + 8

Problem 10
x2 - 4x - 21

Bonus Problem -if correct may be substituted for any error in problems 1-10.

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There are 10 problems = 0.25 points each for a total of 2.5 points. Partial credit may be earned.

Problem 1-Find the pair of factors with a product of 18 & a sum of 9.

Answer -

Factorizing the given equation we have,

x2 - 6x - 3x + 18

x(x - 6) - 3(x - 6)

(x - 3)(x - 6)

The pair of factors are x = 3 and x = 6.

Factor Problems 2-10.

Problem 2

Answer -

Factorizing the given equation we have,

x2 - 14x + 49

x2 - 7x - 7x + 49

x(x - 7) - 7(x - 7)

(x - 7)(x - 7)

The pair of factors are x = 7 and x = 7, or x = 7 is the factor of the given polynomial.

Problem 3

Answer -

Factorizing the given equation we have,

15y4 - 35y3 + 10y2

Taking 5y2 as common in the given equation, we have -

5y2(3y2 - 7y + 2)

Now factorizing the part in the bracket we ...

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