Curriculum
Course: Mathematics — Second Preparatory
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Mathematics — Second Preparatory

Text lesson

Factoring Trinomials

Mathematics — Second Preparatory

Factoring Trinomials

Steps when the leading coefficient is 1

Steps when the leading coefficient is 1

  1. Find two numbers whose product is c and whose sum is b.
  2. Write the expression as (x + m)(x + n).
  3. Check by multiplying. If the middle term is correct, the factoring is correct.
  • When searching for the two numbers, list the pairs whose product is the constant term, and choose the pair whose sum is the coefficient of x.
  • The sign of the constant term tells us the signs of the two numbers: if c is positive, the numbers have the same sign; if c is negative, they have opposite signs.
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