IXL - Factor quadratics with leading coefficient 1 (Algebra 1 practice)

Factor.

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Learn with an example

question

Factor.

key idea

To factor a quadratic of the form

write it as

(

)

(

)

where

and

solution

Look at the given quadratic:

The

term is 12, so you need to find a pair of factors with a product of 12. The

term is 7, so you need to find a pair of factors with a sum of 7. Since the product is positive (12) and the sum is positive (7), you need both factors to be positive.

Make a list of the possible factor pairs with a product of 12, and then find the one with a sum of 7.

Factor pairs of c = 12	Sum of factor pairs
1 12 = 12	1 + 12 = 13
2 6 = 12	2 + 6 = 8
3 4 = 12	3 + 4 = 7

The factors 3 and 4 have a sum of 7. Use those numbers to factor

(

)

(

)

Finally, check your work.

(

)

(

)

Apply the distributive property (FOIL)

Yes,

(

)

(

)

Looking for more? Try these:

Lesson: Factoring expressions

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Work it out

Not feeling ready yet? These can help:

W.8Multiply two binomials

A.8Multiply and divide integers

Lesson: Factoring expressions

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