Factoring Quadratic a = 1

Factor the trinomial. Find the number that goes in both blank spaces.

x² + 4x - 45

x² + _x - 5x - 45

(x + _)(x - 5)

Answer explanation

Remember that the "number puzzle" we used in class helps you find what the two linear terms were BEFORE they had combined to become the middle term in the trinomial. When a=1, those two values are each in one of the factors you're trying to find.

Factor the trinomial. Put the correct values in the spaces provided. x² - x - 56 x² - 8x +​ (a)   x - 56 (x - (b)   )(x + 7)

• 7

• 8

• 1

• x

• -1

Factor the trinomial.

x² + 7x - 120

• (x+7)(x-120)

• (x-8)(x+15)

• (x+20)(x-6)

• (x+40)(x-3)

x² + 9x - 52 is written in ​ (a)   form.

(x + 13)(x - 4) is written in ​ (b)   form.

• standard

• factored

• exponential

• algebraic

• squared

Tags

CCSS.HSA-REI.B.4B

Factor \[x^2 + 2x + 1\]

• (x + 1)(x +1)

• (x + 1)(x - 1)

• (x - 1)(x + 1)

• (x - 1)(x - 1)

Factor:  x² + 13x + 30

• (x + 3)(x + 10)

• (x + 5)(x + 6)

• (x + 2)(x + 15)

• (x + 1)(x + 30)

Factor:  x² - 2x - 24

• (x + 6)(x - 4)

• (x + 4)(x - 6)

• (x - 4)(x - 6))

• (x - 3)(x + 8)

• (x + 3)(x + 4)

• (x + 6)(x + 2)

• (x - 3)(x - 4)

• (x + 1)(x + 12)

• (x - 9)(x + 3)

• (x + 9)(x - 3)

• (x + 3)(x + 3)

• (x + 9)(x + 3)

Factor:
x² - 10x - 24

• (x + 12)(x - 2)

• (x - 6)(x - 4)

• (x - 12)(x + 2)

• (x +6)(x - 4)