CHAPTER_ppt_6_2 - 6.2 Factoring Trinomials of 2 the Form x...

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§ 6.2 Factoring Trinomials of the Form x 2 + bx + c
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Martin-Gay, Beginning and Intermediate Algebra, 4ed 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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Beginning and Intermediate Algebra, 4ed 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 30Sum 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
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This note was uploaded on 11/04/2011 for the course MATH 103 taught by Professor Alraban during the Fall '10 term at Montgomery College.

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CHAPTER_ppt_6_2 - 6.2 Factoring Trinomials of 2 the Form x...

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