4 4 Factoring Quadratic Expressions

4 4 Factoring Quadratic Expressions Video Youtube Free quadratic equation factoring calculator solve quadratic equations using factoring step by step. However, if you chose the numbers 2 and 4: 2 4 =6 (the value of b) . 2 x 4 = 8 (the value of c) . since the sum of 2 and 4 is 6 and the product of 2 and 4 is 8, you can found out that the factors of the trinomial x² 6x 8 are (x 2) and (x 4) step three: use your numbers from step two to write out the factors.

4 4 Factoring Quadratic Expressions Youtube If you are factoring a quadratic like x^2 5x 4 you want to find two numbers that add up to 5 multiply together to get 4 since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like: (x 1)(x 4). One of the numbers has to be negative to make −36, so by playing with a few different numbers i find that −4 and 9 work nicely: −4×9 = −36 and −4 9 = 5 . step 2: rewrite 5x with −4x and 9x: 6x 2 − 4x 9x − 6. step 3: factor first two and last two: 2x(3x − 2) 3(3x − 2) step 4: common factor is (3x − 2): (2x 3)(3x − 2). Example 1: quadratic expression with the coefficient of a = 1. factor the quadratic expression. x2−2x−24x2 −2x−24. find two factors of the constant, cc term, that sum to equal the coefficient of the bb term. the constant, cc term, is −24−24 so one factor must be negative. Factoring quadratic expressions date period factor each completely. 1) x2 − 7x − 18 (x − 9)(x 2) 2) p2 − 5p − 14 (p 2)(p − 7) 3) m2 − 9m 8 (m − 1)(m − 8) 4) x2 − 16 x 63 (x − 9)(x − 7) 5) 7x2 − 31 x − 20 (7x 4)(x − 5) 6) 7k2 9k k(7k 9) 7) 7x2 − 45 x − 28 (7x 4)(x − 7) 8) 2b2 17 b.