Question

When p(x) = x2 + 7x + 9 is divided by g(x) , we get(x + 2) and -1 as the quotient
and remainder respectively, find g(x)

Answer 1

Answer:

p(x) = x ^ 2 + 7x + 9

q(x) = x + 2

r(x) = - 1

g(x)=? moving sdi p(x) = g(x) * q * (x) + r(x)

x ^ 2 + 7x + 9 = g(x) * (x + 2) - 1

g(x) = (x ^ 2 + 7x + 10)/(x + 2)

= (x+2)(x+5) (x+2)

g(x) = x + 5

I hope you mark a me Brainleit