Factoring Polynomials Diamond Method Worksheet

Factor Completely: 5x² - 11x + 6

• (5x + 6)(x - 1)

• (5x - 6)(x - 1)

• (2x - 7)(x - 3)

• (5x - 6)(x + 1)

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)

Factor completely:

9m² + 30mn + 25n²

• (3m + 5n)²

• (3m - 5n)²

• (3m + n)²

• (m + 5n)²

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 5x² -13x + 6

• (5x -2)(x-3)

• (5x -3)(x-2)

• (5x -13)(x-2)

• (5x +3)(x+2)

What are the factors of 7x² + 16x + 4?

• (7x + 4) (x + 1

• (7x - 2) (x - 2)

• (7x + 2) (x + 2)

• (7x - 2) (x + 2)

Factor
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

The trinomial 4x² -20x + 25 is factorable. Which of these is the correct factorization?

• (2x+5)(2x-5)

Tags

CCSS.HSA.APR.C.4

Factor:

2x² + 3x - 9

• 2(x + 3)(x - 3)

• (2x - 3)²

• (x + 3)(2x - 3)

• (2x + 3)(x - 3)

Which function is equivalent to: h(x)= 3x² + 10x - 8?

• h(x)=(3x + 2)(x + 4)

• h(x)=(7x + 5)(x + 2)

• h(x)=(3x - 2)(x + 4)

• h(x)=(7x - 3)(x - 4)