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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 ?

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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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 ?

User Tessa Lau
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1 Answer

6 votes
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.
User Kfsone
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9.1k points
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