Factor Polynomials

What is the GCF?
6w³ - 14w

• 6w

• 4

• 2w

• 3w

Factor:
x² - 5x

• (x - 5)

• (x - 5x)

• (x - 5)

• x²(1 - 5)

Factor completely
10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Solve n⁴-49n²=0

• 0, 7

• 0, -7, 7

• 0, -7

• 7, -7

Factor k²+7k+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor
a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

Factor Completely: x² - 36

• (x + 9)(x - 4)

• (x - 6)(x - 6)

• (x - 9)(x + 4)

• (x + 6)(x - 6)

Using the polynomial  f(x) = 2x³ - 19x² + 38x + 24, is x-4 a factor? Explain why or why not.

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How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

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