Question 1206674
<br>
{{{x^3-5x^2+7x-35}}}<br>
Looking at the coefficients<br>
1 -5 7 -35<br>
we see the second pair is 7 times the first pair, which means the polynomial will factor by grouping.<br>
{{{x^3-5x^2+7x-35=(x^3-5x^2)+(7x-35)=x^2(x-5)+7(x-5)=(x^2+7)(x-5)}}}<br>
The roots are {{{i*sqrt(7)}}}, {{{-i*sqrt(7)}}}, and {{{5}}}<br>