Foundations of Algebra Factoring Test

Factor

3a² + 4a + 1

• (7a-10)(a-8)

• Prime

• (3a+1)(a+1)

• (3a-1)(a-1)

Factor
2x² - 13x - 70

• (2x-7)(x+10)
• (7x+5)(x+2)
• (2x+7)(x-10)
• 2(x+7)(x+10)

Factor

81m² - 1

• prime

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• prime

Extra Credit: What is a method of checking your work when factoring?

• FOIL

• asking the teacher every time

• assume you're correct

• division

Factor:
x² - 5x

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

Solve this quadratic.

• b=4/5, b=3

• b=4, b=-3

• b=1/5, b=3

• b=4/5, b=-3

Solve the equation using the zero product property.

3x(2x - 4) = 0

• x =0

• x = 0 or x = 2

• x = 2

• x = -1/3 or x = 2

Extra Credit: What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Multiply a and c

• Write the answer

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.