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kupik [55]
3 years ago
8

If x- 2 is a factor of x^2 -bx+ b, where b is a constant, what is the value of b

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0
\bf x^2-\underline{b} x+b\implies \stackrel{given}{(x-2)}~(x-y)\impliedby \textit{now let's do some FOIL}\\\\
-------------------------------\\\\
\begin{cases}
-yx-2x=-\underline{b}x\implies y+2=\underline{b}\\
(-2)(-y)=b\implies 2y=b
\end{cases}
\\\\\\
\underline{b}=b\implies y+2=2y\implies 2=y

what is b?   from the first equation in the system, y + 2 = b.
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