Question

when p(x) =x^2+7x+9 is divided by g(x) we get x+2 and -1 as the qutioent and remainder respectively find g(x)

Answer 1

let g(x)= t
according to question
p(x)= t(x+2) +(-1)
x2+7x+9= t(x+2) -1
x2+7x+10 = t(x+2)
(x+2)(x+5) = t(x+2)
t = x+5

Answer 2

Answer:

g(x)=x+5

Step-by-step explanation:

let the g(x)=t

according to questions

p(x)=t(x+2) +(-1)

x²+7x+9=t(x+2)-1

x²+7x+10=t(x+2)

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

t=x+5