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Factor x2 – 8x + 15. Which pair of numbers has a product of ac and a sum of b?
The pair of numbers that has a product of ac and a sum of b is (x – 5) (x -3.)
What is a quadratic equation?
A quadratic equation is used for the expression of algebraic terms in their second degree. It is used written in the form:
- ax² + bx + c = 0
From the given information:
- x² – 8x + 15 = 0
- a = 1
- b = – 8
- c = 15
To determine the product of ac and the sum of b;
We will look for two values that when we multiply them together, we will have +15 and when we add them together we will have -8.
The two values are -3 and – 5
- The product of -3 and – 15 is ac = +15
- The sum of -3 and -5 is b = -8
Now, the quadratic equation becomes:
x² – 3x – 5x + 15 = 0
x(x -3) -5(x -3) = 0
(x -5) (x – 3) = 0
Learn more about quadratic equations here:
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