Question

check g(x)=-x^2+4x+3 is a factor of p(x)=x^5-8x^4+7x^3-9x+4

Answer 1

g(x) = x^2+4x+3
0 =x^2+3x+x+3
0 =x(x+3) +1(x+3)
0= (x+3) (x+1)
x = -3 and -1
p(x) = x^5-8x^4+7x^3-9x+4
p(-1) = -1^5 - 8(-1)^4 +7(-1)3 -9(-1)+4
= -1 +8 -7 +9 +4
= 13
g(x) yah p(x) ka factor nhi h