Question

On dividing x3+5x2+8x+2 by polynomial g(x) the quotient and remainder were x2+4x+3 and x-1 respectively find g(x)

Answer 1

hi hello mate here's the answer

g (x) = x + 1

Answer 2

Answer:

Step-by-step explanation:

Let p(x) = x³+5x²+8x+2

q(x) = x²+4x+3

r(x) = x-1

g(x) = ?

p(x) = q(x) multiplied by g(x) + r(x)

= x³+5x²+8x+2 = (x²+4x+3) into g(x) + (x-1)

=

= x³+5x²+8x+2-x+1 / x²+4x+3 = g(x)

Therefore after dividing we will get g (x) = x+1