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mgb5e_ppt_6_2 - 6.2 Factoring Trinomials of 2 the Form x bx...

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§ 6.2 Factoring Trinomials of the Form x 2 + bx + c
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Martin-Gay, Beginning Algebra, 5ed 2 Factoring Trinomials Recall by using the FOIL method that F O I L ( x + 2)( x + 4) = x 2 + 4 x + 2 x + 8 = x 2 + 6 x + 8 To factor x 2 + b x + c into ( x + one #)( x + another #), note that b is the sum of the two numbers and c is the product of the two numbers. So we’ll be looking for 2 numbers whose product is c and whose sum is b . Note: there are fewer choices for the product, so that’s why we start there first.
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Martin-Gay, Beginning Algebra, 5ed 3 Factor the polynomial x 2 + 13 x + 30. Since our two numbers must have a product of 30 and a sum of 13, the two numbers must both be positive. Positive factors of 30 Sum of Factors 1, 30 31 2, 15 17 3, 10 13 Note, there are other factors, but once we find a pair that works, we do not have to continue searching. So x 2 + 13 x + 30 = ( x + 3)( x + 10). Factoring Polynomials Example:
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Martin-Gay, Beginning Algebra, 5ed 4 Factor the polynomial x 2 – 11 x + 24.
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