Question

If the polynomial x^4 + 2^3 + 8^2 + 12x + 18 is divided by another polynomial , x^2+5 the remainder comes out to be px+q then the value of p and q are: *

Answer 1

Answer:

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Answer 2

Answer:

p=2 ans q=115

Step-by-step explanation:

P(x) +=x^4 + 2^3 +8^2 +12x + 18 and g(x)=x^2 + 5

Given: P(x)/g(x)= px+q

       x^2+5 ) x^4+0x^3+0x^2+12x+90(x^2-5

                (-) x^4         (-)5x^2

               _____________________

                                    -5x^2+12x+90

                                 (+)-5x^2    (+) -25

               ______________________

                                  2x +115

                                 ______________

therefore the remainder=2x+115

2x+115=px+q

2x=px and q=115  and p=2, q=115