Factoring Quadratic Trinomials, a=1

Factor the trinomial:

x² + 4x + 3

• (x+1)(x+3)

• (x-1)(x-3)

• (x+4)(x+3)

• (x+x)(1+3)

Factor the trinomial:

x² - 3x - 28

• (x-28)(x-3)

• (x-7)(x+4)

• (x-25)(x-3)

• (x+7)(x-4)

Based on the method we learned in class, which of these puzzles can be used to find the values that split the middle term?

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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. Find the number that goes in both blank spaces.

x² + 11x + 24

x² + _x + 8x + 24

(x + _)(x + 8)

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. Find the number that goes in both blank spaces.

_{(You might need to type in a negative number. Watch the signs carefully.)}

x² - 16x + 55

x² + __x - 5x + 55

(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.

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

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

• standard
• factored
• exponential
• algebraic
• squared

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)

Factor the trinomial.

x² - 10x + 25

• (x-10)(x+25)

• (x-5)(x+5)

• (x-5)²

• answer not here