Graphing Quadratics and Factoring Review

What is the first step when factoring polynomials?

• Write the answer

• Find the GCF

• Make an AC chart

• Group terms

What are the factors of

 $25x^2-81$  

•  $\left(25x-81\right)\left(25x+81\right)$  

•  $\left(5x^2+9\right)\left(5x^2-9\right)$  

•  $\left(5x+9\right)\left(5x-9\right)$  

•  $5x^2\left(5x-9\right)$  

Tags

CCSS.HSA.APR.C.4

Factor Completely.
 $4b^5+4b^3+16b^2$  

•  $4b^2\left(b+2\right)\left(b-2\right)$  

•  $4\left(b^5+b^3+4b^2\right)$  

•  $4b^3\left(b^4+4b+4\right)$  

•  $4b^2\left(b^3+b+4\right)$  

Factor Completely: 

5x²-15x+10

• (5x-2)(x-5)

• 5(x-2)(x+1)

• (x-2)(x-1)

• 5(x-2)(x-1)

Fully Factor the Following

16x²+25

• Prime

• (4x-5)(4x+5)

• (4x-5)(4x-5)

• (4x+5)(4x+5)

Tags

CCSS.HSA.APR.C.4

Factor:

17xy - x

• 17(xy - x)

• y(17x - x)

• x(17y - 1)

• Prime

Factor

3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• Prime

• (3v+1)(v-10)

Factor Completely:

64-27a³

• (4-3a)(9a²+12a+16)

• (3a-4)(3a²+12a+16)

• (4-3a)(3a²+12a+16)

• (4-3a)(4+3a)

Tags

CCSS.HSA.APR.C.4

Factor Completely:

7r³-8r²+42r-48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

What are the solutions/roots of this graph?

• -2 and 3

• -1/2 and -6

• 2 and -6

• No Real Roots