matokiwasssup matokiwasssup

22-05-2018
Mathematics

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3x(2x+1)+4(2x+1)=ax^2+bx+c In the equation above, a, b, and c are constants. If the equation is true for all values of x, what is the value of b ?

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sqdancefan sqdancefan

22-05-2018

When the left side is expanded, the terms involving x are
3x +4(2x) = 11x

In order for the equation to be true for all x, the value of b must be the coefficient of x on the left side.
b = 11.

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