Review - Factoring Polynomials & Solving Quadratic Equations

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Find the factors

16xy - 24y

• 4y (4x - 6)

• 8y (2xy - 3y)

• 8y (2x - 3)

• 2xy (8 - 12y)

Tags

CCSS.7.EE.A.1

Factor completely

45xy + 15x³y + 10y

• 5y (9xy + 3x² + 2y)

• 5xy (9 + 3x² + 2)

• 5x (9y + 3xy + 2)

• 5y (9x + 3x³ + 2)

Factor
12x + 9

• 3(4x + 3)
• x(12+9)
• 3(4x - 3)
• not factorable

Tags

CCSS.7.EE.A.1

Factor the GCF out of the expression.

 $45n^2-40n^5$  

•  $5n^2\left(9-8n^3\right)$  

•  $n^2\left(45-40n^3\right)$  

•  $5\left(9n^2-8n^5\right)$  

Factor by grouping:
7r³-8r²+42r-48

• (r²+6)(7r+8)
• (r²+6)(7r-8)
• (r²+6)(r²+8)
• (r²+6)(7r+6)

Factor by grouping:
x³-5x²+5x-25

• (x²-5)(x-5)
• (x²+5)(x-5)
• (x²+5)(x+5)
• (x²-1)(x-25)

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

Factor
k² - 2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)