Factoring Quadratic Functions

Factor x²-16

• (x+4)²

• (x-4)²

• (x-16)(x+16)

• (x-4)(x+4)

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

Which method would be most efficient for solving the equation?

• factoring

• completing the square

• graphing

• quadratic formula

Move an expression into each box to show the factored form of the given quadratic expression. 5x² - 6x - 8 = (a)   ​ (b)  

• (5x - 4)

• (x + 2)

• (x - 2)

• (5x + 4)

Match the following factored quadratic expressions to their standard form.

A quadratic expression is shown. 3x² - 2x - 5

Move an expression into each box to show the factored form of the given quadratic expression.​ ​ (a)   ​ (b)   ​ ​

• (x+1)

• (3x-5)

• (x+5)

• (3x-1)

• (3x+5)

• (x-1)

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

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)