Intro to Algebra

Factor:
x² - 5x - 14

• (x - 2)(x + 3)

• (x - 2)(x + 7)

• (x + 2)(x - 7)

• (x - 2)(x - 3)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

If a trinomial, ax² +or- bx + c, has a positive "c" value, what do you know about the signs in its binomial factors?

• Both signs are positive.

• Both signs are negative. 

• One sign is positive and one is negative.

• The signs are the same, both + or both -

If a trinomial, ax² + bx + c, has a negative "c" value, what do you know about the signs in its binomial factors.

• The signs are both +. 

• The signs are one + and one -

• The signs are both -

Which of the following is a difference of perfect squares?

• x² - 18

• 4x² + 36 

• 9x² - 100

• x² + 4

Tags

CCSS.HSA.APR.C.4

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

Tags

CCSS.HSA.APR.C.4

Factor completely: 3x²-36x+96

• (x-4)(x-8)

• 3(x-4)(x-8)

• 3(x+1)(x+32)

• 3(x-2)(x+16)

Factor completely.
2n² + 17n - 30

• (2n - 3)(n + 10)

• (2n - 3)(n - 10)

• (2n + 3)(n - 10)

• (5n - 6)(n + 5)

Factor completely.
5x² - 13x + 6

• (x - 3)(5x - 2)

• (5x - 3)(x - 2)

• 5(x - 3)(x + 2)

• Not factorable

Factor

10x² + 15x + 5

• 5(2x-1)(x+1)

• 5(2x+1)(x-1)

• 5(2x²+3x+1)

• 5(2x+1)(x+1)

• 5(2x-1)(x-1)