Factor Quadratics from Intercepts

Select ALL that apply. The x-intercepts are often called...

• zeros

• solutions

• roots

• maximums

• minimums

Tags

CCSS.HSF-IF.C.7C

Factor:
 3x²-17x+10

• (x-5)(3x-2)

• (x+5)(3x+2)

• (3x-5)(x-2)

• (x+5)(3x-2)

What are the factors of x²-8x-48

• (x-12)(x+4)

• (x+12)(x-4)

• (x+12)(x+4)

• (x-12)(x-4)

What are the factors of 3x²-17x+10

• (x-5)(3x-2)

• (x+5)(3x+2)

• (3x-5)(x-2)

• (x+5)(3x-2)

For the given graph with the equation y=(x-3)²+1

x-intercepts / zeros /roots = ​ ​ (a)  

Factored form: ​ (b)   ​

• (x-2)(x-4)

• x=2 or 4

• x=-4 or -2

• -(x-2)(x-4)

• (x+2)(x+4)

• (x-3)(x+1)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

For the graph of y= -(x+2)² + 9 attached,

x intercepts: ​ (a)  

y intercept: ​ (b)  

Factored form: ​ (c)  

• x=-5 or x=1

• x=5 or -1

• y= 5

• y=0

• -(x + 5)(x - 1)

• -(x - 5)(x + 1)

• (x + 5)(x - 1)

Tags

CCSS.HSF-IF.C.7A

factor:x² - 25

• ( x + 5 ) ( x - 5 ) 

• ( x - 5 ) ( x - 5 ) 

• ( x + 5 ) ( x + 5 ) 

• Prime

Tags

CCSS.HSA.APR.C.4

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1

• (x + 1)(x - 3); x=-1, x=3

• (x + 2)(x - 1); x=-2, x=1

• (x - 1)(x + 3); x=1, x=-3

Tags

CCSS.HSA-REI.B.4B

What are the zeros for the function
f(x) = (x + 7)(x + 5)

• (7 , 0) and (5 , 0)

• (0 , 7) and (0 , 5)

• (-7 , 0) and (-5 , 0)

• (7 , 0) and (5 , 0)

Tags

CCSS.HSF-IF.C.7C