Question
show that
$x-2$ is a factor of $5 x^2+15 x-50$
$x-2$ is a factor of $5 x^2+15 x-50$
✓
Answer
(x – a) is a factor of a polynomial f(x) if the remainder, when f(x) is divided by (x – a), is 0, i.e., if f(a) = 0.
$f(x)=5 x^2+15 x-50$
$f(2)=5(2)^2+15(2)-50=20+30-50=0$
Hence, $x-2$ is a factor of $5 x^2+15 x-50$
$f(x)=5 x^2+15 x-50$
$f(2)=5(2)^2+15(2)-50=20+30-50=0$
Hence, $x-2$ is a factor of $5 x^2+15 x-50$
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