What is the complete factorization of x2 + 2x − 63? A. (x + 21)(x − 3) B. (x − 9)(x + 7) C. (x + 9)(x − 7) D. (x − 21)(x + 3)
1 answer:
Answer:
(x + 9)(x - 7)
Step-by-step explanation:
We want to factorize ![x^2 + 2x - 63](https://tex.z-dn.net/?f=x%5E2%20%2B%202x%20-%2063)
We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:
![x^2 + 9x - 7x - 63\\\\= x(x + 9) -7(x +9)\\\\ = (x +9)(x -7)](https://tex.z-dn.net/?f=x%5E2%20%2B%209x%20-%207x%20-%2063%5C%5C%5C%5C%3D%20x%28x%20%2B%209%29%20-7%28x%20%2B9%29%5C%5C%5C%5C%20%3D%20%28x%20%2B9%29%28x%20-7%29)
The complete factorization is (x + 9)(x - 7)
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Step-by-step explanation:
straight line=180°
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