Question

If the polynomial x4+2x3+8x2+12x+18 is divided by another polynomial x2+5 the remainder comes out to be px+q , find the values of p and q

Answer 1

divide the polynomial with the 2x+5 and whatever the answer will come put in the px+q. Then your answer will come

Answer 2

Answer:

p(x)=q x g(x) + r         [p(x) =polynomial, q= quotient, r= remainder]

Step-by-step explanation:

by formula:-

x4+2x³+8x²+12x+18= (x²+5)q + r

x4+2x³+8x²+12x+18 divided by x²+5 =q+r

Now divide:-

                  x²+2x+3

x²+5         )x4+2x³+8x²+12x+18

                -x4        -5x²

                   2x³ +3x² +12x +18

                  -2x³          -10x

                         3x² +2x +18

                         -3x²        -15

                                 2x +3

So after dividing we get 2x+3

Hence, px+q = 2x+3

So p=2 and q=3