Factors Trinomial

Factorize the trinomial: 4x^2 + 12x + 9.

• (4x + 3)(x + 3)

• (2x + 4)(2x + 5)

• (2x + 1)(2x + 9)

• (2x + 3)(2x + 3)

Answer explanation

To factorize the trinomial 4x^2 + 12x + 9, we look for two binomials that multiply to give the trinomial. The correct choice is (2x + 3)(2x + 3) because when we expand it, we get 4x^2 + 12x + 9, which matches the original trinomial.

Factorize the trinomial: 5x^2 - 9x - 8.

• (5x-8)(x-8)

• (5x+8)(x-5)

• (5x-8)(x+5)

• (5x-8)(x-5)

Answer explanation

The correct choice is (5x+8)(x-5) because it is the only option that factors the trinomial correctly.

Factorize the trinomial: 6x^2 + 11x - 10.

• (2x - 5)(3x + 2)

• (6x + 5)(x - 2)

• (2x + 5)(3x - 2)

• (3x + 2)(2x - 5)

Answer explanation

The correct factorization of the trinomial is (2x + 5)(3x - 2).

Factorize the trinomial: 3x^2 + 7x - 6.

• (3x-2)(x+3)

• (3x+2)(x-3)

• (3x+3)(x-2)

• (3x-3)(x+2)

Answer explanation

The correct factorization of the trinomial 3x^2 + 7x - 6 is (3x+2)(x-3).

Find the values of a, b, and c in the trinomial.

x² + 5x + 6

• a = 1

  b = 6

  c = -5

• a = 1

  b = 6

  c = 5

• a = 1

  b = 5

  c = -6

• a = 1

  b = 5

  c = 6

To factor a general trinomials, find the factors of the 3rd term. Then, add the factors for ___ term.

• 1st

• 2nd

• 3rd

• 4th

TRUE or FALSE. The 2nd term shows that it is 2 times of the answer when you multiply the factor of perfect squares ,x² and 16.

x² +8x + 16

• TRUE

• FALSE

Answer explanation

It is true.

x² + 8x + 16

Let's get the factor of the

x² = x • x

16 = 4 • 4 or -4 • -4

Choose 4 because of positive on 8 .

2 times 4 times x is 8x.

x² + 8x + 16

To factor a general trinomials, find the factors of the ____ term. Then, add the factors for 2nd term.

• 2nd

• 1st

• 3rd

• 4th

Binomals (-3x+5) and (x+2) are the factors of which of the following trinomials?

• -2x + 7

• (x-4)

• (x+2)

• (x+6)