M2 Factoring Polynomials

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Write x³ + 9x² + 18x in factored form

• x(x + 6)(x + 3)

• x(x + 9)(x + 2)

• x(x + 6)

• x(x - 6)(x - 3)

Factor completely:
16x² - 20xy

• 4 (4x² - 5xy)
• 4x (4x - 5y)
• 4x² (4 - 5y)
• 2(duck)

Solve for the values of x:

(2x - 1)(x + 4) = 0

• x = 1/2, -4

• x = 1/2, 4

• x = 2, -4

• x = -2 4

Write x³ + 9x² + 18x in factored form

• x(x + 6)(x + 3)

• x(x + 9)(x + 2)

• x(x + 6)

• x(x - 6)(x - 3)

Factor: x⁴ − 7x² − 18

• (x + 3)²(x² − 2)

• (x − 3)²(x² + 2)

• (x² + 9)(x² − 2)

• (x − 3)(x + 3)(x² + 2)

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

Factor

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Factor:
 n² + 10n + 25

• (n + 5)(n - 5)
• (n + 25)(n + 1)
• (n - 5)²
• (n + 5)²