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The roots of x^2 + 8x + 4 are the same as the roots of Ax^2 + x + B . What is A + B?

 Apr 20, 2022
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If two quadratic polynomials have the exact same roots, then one of them is a multiple of the other.

 

Judging by the coefficients of x, Ax^2 + x + B should be 1/8 times of x^2 + 8x + 4.

 

You can continue by expanding 18(x2+8x+4) and finding the coefficient of x^2 and the constant term.

 Apr 20, 2022

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