Work backwards to write a quadratic equation that will have solutions of x = 3 and x = - 7.

Question

Mathematics

Rambo

11 May, 16:41

Work backwards to write a quadratic equation that will have solutions of x = 3 and x = - 7.

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Answers (1)

Know the Answer?

Cassie · Answer 1

x² + 4x - 21

Step-by-step explanation:

Given the solutions of x = 3 and x = - 7, moving the constant to the other side and setting both equations equal to '0':

x - 3 = 0 and x + 7 = 0

So, the two binomials that make up the quadratic are:

(x - 3) (x + 7)

Use FOIL: x² + 7x - 3x - 21

Combine like terms: x² + 4x - 21