Question

without actual division prove that the polynomial g(x) = 2 X square + 7 x + 3 is a is a factor of the polynomial f (x) =23 x + 6 x cube + 25 x square + 6

Answer 1

just find the value of x from g(x) and substitute the value in f(x)
if it's answer comes out to be 0 then it is it's factor