Quadratics Mixed Review

Factor:  3x²-17x+10

[Hint: Slide & Divide]

• (x-5)(3x-2)

• (x+5)(3x+2)

• (3x-5)(x-2)

• (x+5)(3x-2)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor completely using GCF:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor using the Diamond Method:

x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Factor completely using the Diamond Method:

x²+16x+64

• (x+4)(x+16)

• (x-8)(x-8)

• (x+2)(x+32)

• (x+8)(x+8)

Factor completely using the Diamond Method:

x²-13x+40

• (x-5)(x-8)

• (x+5)(x+8)

• (x-4)(x-10)

• (x-2)(x-20)

Factor the following trinomial using the Diamond Method:

• PRIME

What are the factors of 3x²-17x+10?

[Hint: Slide & Divide]

• (x-5)(3x-2)

• (x+5)(3x+2)

• (3x-5)(x-2)

• (x+5)(3x-2)

Find the factors of 4x²-16x-9.

[Hint: Slide & Divide]

• (2x-9)(2x+1)

• (2x+9)(2x-1)

• (4x-1)(x+9)

• (x+1)(4x-9)

Factor using the DOTS method:

25x² - 9

• (5x + 3)(5x - 3)

• (x + 5)(x - 3)

• (x - 3)(x + 5)

• (5x + 3)(3x + 5)