Question

Is (x + 1) a factor of 10x^3 - 15x^2 + 7x + 32?

Answer 1

`10x^3-15x^2+7x+32^{}=0`

we can divide the equation on (x+1) and if we have a real solutons (x+1) is a factor

is a factor because the remainder is 0

so the new form of the equation is

`(x+1)(10x^2-25x+32)`