Question 1058685

Show that the binomial is a factor of the polynomial. Then factor the polynomial completely.

t(x)=x3−5x2−9x+45; x−5
t(x)=
<pre>x - 5 is a FACTOR, so x - 5 = 0, and x = 5
If x - 5 is a factor, then t(5) MUST = 0. Does it? Check to see!
I'll give you a start ======> {{{t(5) = 5^3 - 5(5)^2 - 9(5) + 45 = 0}}}
Factoring: {{{x^3 - 5x^2 - 9x + 45}}}, we get: {{{highlight_green(matrix(1,5, x^2(x - 5) - 9(x - 5), "======>", (x^2 - 9)(x - 5), "=======>", (x - 3)(x + 3)(x - 5)))}}}
It is that SIMPLE....nothing COMPLEX at all.