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Write down the quadratic equation whose roots are x = -7 and x = \(8\) and the coefficient of x^2 is 1.

Enter your answer in the form "x^2 + bx + c = 0".

 Jan 29, 2022
 #1
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the roots are x = -7 and x = 8:

\((x+7)(x - 8)\)

\(= x^2 + 7x - 8x - 56\)

\(= x^2 - x - 56\)

 

(This expression can be expanded by using FOIL: First, Outer, Inner, Last.)

 

Because our equation's x^2 coefficient is already equal to 1, our answer is x^2 - x - 56 = 0.

 Jan 29, 2022

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