Factoring Trinomials Coefficient Is 1

Factor the perfect square trinomial:

9x² + 6x + 1

• (3x)² + (1)²

• (3x - 1)²

• (3x + 1)²

• (x + 3)²

According to your formula chart, what is the formula for factoring a "Perfect Square Trinomial" that has a positive coefficient on the middle term?

• a² - b² = (a-b)(a+b)

• a² + 2ab + b² = (a+b)²

• a² - 2ab + b² = (a-b)²

Answer explanation

These are examples of perfect square trinomials with a positive coefficient on the middle term:

x^2 + 10x + 25

4x^2 + 12x + 9

Their factored forms are:

(x+5)^2

(2x+3)^2

NEVER DISTRIBUTE THE EXPONENT! Always use formula or expand and multiply (a.k.a. FOIL or box).

Select BOTH of the PERFECT SQUARE TRINOMIALS.

Hint, the formulas are:

a² + 2ab + b² = (a+b)²

and

a² - 2ab + b² = (a-b)²

• x² - 6x + 9

• r² + 12r + 36

• x² + 16x + 100

• r² - 9r + 49

Factor:
x² + 7x - 30

• (x + 10)(x - 7)

• (x - 10)(x + 3)

• (x + 10)(x + 3)

• (x + 10)(x - 3)

Factor
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor
k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor:
x² + 2x - 24

• (x - 6)(x + 4)

• (x + 6)(x + 4)

• (x - 6)(x - 4)

• (x + 6)(x - 4)

Which of the following methods would be best to solve this equation by Factoring?
x² - 6x - 27 = 0

• Difference of Squares

• Trinomial when a > 1

• Factor by Grouping

• Trinomial when a = 1

How should you factor the following expression?

• Perfect Squares:

  Use (x + a ) (x - a )

• Factor when a>1, slip & slide

• No Leading Coefficient:

  Go straight to (x ± a) (x ± b)

• Factor by Grouping

How should you factor the following expression?
x² - 5x + 6

• Perfect Squares:
  Use (x + a ) (x - a )

• Perfect Cubes:
  Use SOP SMS

• No Leading Coefficient:
  Go straight to (x ± a) (x ± b)

• Multiply 1st & Last;
  Replace middle term;
  Factor by Grouping