Algebra 1 Chapter 8 Polynomials and Factoring

Adding and Subtracting

1

–6ab + 3ab

What is -3ab

1

(3x² + 5) + (16x² + 7)

What is 19x² + 12

1

11n – 4 – (5n + 2) ________

What is 6n - 6

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Error Analysis-- Describe and correct the error in simplifying the difference shown. 3d² + 8d – 2 -(2d² – 7d + 6) = d² + d - 8

What is Did not distribute the negative to (-7d) Answer should be: d² +15d - 8

1

The fence around a quadrilateral-shaped pasture is 3a² + 15a + 9 long. Three sides of the fence have the following lengths: 5a, 10a – 2, a² – 7. What is the length of the fourth side of the fence?

What is : 2a² +18

Multiplying and Factoring GCF

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Simplify 2x(x + 8)

What is 2x² + 16x

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Simplify 3m² (4 + m)

What is 3m³ + 12m²

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Find the GCF of 4t³ + 24t

What is 4t

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Factor GCF 8s⁸ t⁴ + 20s⁴ t³

What is 4s⁴ t³

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Simplify 5y(y + 2) - y(y - 3)

What is 4y² +13y

Multiplying Binomials & Special Cases

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(y – 4)(y + 7)

What is y² + 3y - 28

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(3x + 1)(5x – 3)

What is 15x² - 4x - 3

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(x + 3)(x² – 2x + 4)

What is x³ + x² -2x + 12

1

(5s + 2)²

What is 25s² +20s + 4

1

A brown square tarp has a green square patch green in the corner. The side length of the tarp is (x + 8) and the side length of the patch is x. What is the area of the brown part of the tarp?

What is 16x +64

Factoring Trinomials a=1

1

Factor x² + 16 x + 63

What is (x + 9)(x + 7)

1

Factor q² – 12q + 20

(q- 2)(q-10)

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Factor a²– 7a – 18

What is (a - 9)(a +2)

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Factor x² + 5xy – 14y²

What is (x +7y)(x-2y)

1

Factor k² + 4kn – 96n²

What is (k + 12n)(k - 8n)

Factoring Trinomials a>1

1

Factor 2w² + 13w + 15

What is (2w + 3)(w + 5)

1

Factor 3d² + 20d + 12

What is (3d + 2)(d + 6)

1

Factor 6r² - 10r - 24

What is 2(3r + 4)(r - 3)

1

Factor 3x² + 9x - 84

What is 3(x + 7)(x - 4)

1

Factor 24c² + 96c + 90

What is 6(2c + 5)(2c + 3)