Polynomials and Factoring Review

Simplify. 
(y − 5)(y + 5)

• y² + 25

• y² + 10y + 25

• y² − 10y + 25

• y² − 25

2x²(x+5)

• 2x²+5

• 2x²+10x²

• 2x³+5

• 2x³+10x²

Which polynomial represents the sum of 12x² + 17x - 4 and 9x² - 13x + 3?

• 21x² + 4x - 1

• 21x⁴ + 4x² - 1

• 21x² + 30x + 7

• 3x² - 4x - 1

What is the simplified form of 5x(x - 4) - 7(2x + 3)

• 5x² - 6x - 21

• 5x² - 34x - 21

• 5x² + 6x + 21

• 5x² - 34x + 21

Which expression is equivalent to 6x² - 13x + 6?

• (3x + 2)(2x + 3)

• (3x - 2)(2x - 3)

• (3x - 3)(2x - 2)

• (3x + 3)(2x + 2)

If possible, factor completely.

75x² - 48

• 3(5x + 4)(5x - 4)

• 3(25x² - 16)

• 3(5x - 4)²

• Not factorable

Which statement is true about the expression of 6x2 + 5x + 10?

• One factor of the trinomial is 2x - 5

• The factors of the trinomial are x + 6 and 4x + 3

• The trinomial is not factorable

• One factor of the trinomial is 3x - 2

Which of the trinomials below cannot be factored?

I. 4x² - 12x + 9

II. 6x² - 43x + 7

III. 10x² + x - 6

IV. 9x² + 71x + 56

• IV only

• I, II, III, and IV

• I and II only

• III only

Which expression represents 45x² - 80 in simplest factored form?

• 3(5x - 4)²

• 5(3x + 4)(3x - 4)

• (5x + 4)(5x - 4)

• Not factorable

Which Polynomial is equivalent to x² + 3x?

• 3(x² - 2x) - 4x(x - 3) + 12x

• 3(x² + 2x) - 4x(x - 3) + 3x

• -3(x² - 2x) + 4x(x + 3) - 12x

• -3(x² + 2x) + 4x(x + 3) - 3x