Question

Factorix the following by Factor therrem
x² +9x²+23x+15​

Answer 1

Answer:

If we find the first root by trial and error method, then it is - 1

So x-(-1) is a factor of the given polynomial.

First factor x+1.

If we divide the polynomial by x+1, we get x^2+8x+15.

If we again factorize x^2 +8x+1, we get (x+3)(x+5).

So the final answer is (x+1) (x+3) (x+5) .