Factor Polynomials

If (x + 1) is a factor of x²− 3ax +3a − 7, then the value of a is:

• 1

• -1

• 0

• -2

Factor

x² - 13x + 36

• A

  (x + 9)(x + 4)

• B

  (x - 9)(x - 4)

• C

  (x + 9)(x - 4)

• D

  (x - 9)(x + 4)

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?  

• (2x - 9)(x - 5)

• (2x + 9)(x + 5)

• (2x - 5)(x - 9)

• (2x - 5)(x + 9)

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 -

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Factor completely.
k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)