If the polynomial `6x^4 +8 x^3 +17 x^2 +21x +7` is divided by another polynomial `3 x^2 + 4x +1`;the remainder comes out to be `ax+b` .Find a and b.

If the polynomial 6x^(4)+8x^(3)+17x^(2)+21x+7 is divided by another polynomial 3x^(2)+4x+1, the remainder comes out to be ax+b, find a and b.

If the polynomial 6x^(4)+8x^(3)+17x^(2)+25x-9 is divided by another polynomial 3x^(2)+4x+1 , the remainder comes out to be a+bx, find (a+b)^(2) .

If the polynomial x^(4)-6x^(3)+16x^(2)-25x+10 is divided by another polynomial x^(2)-2x+k , the remainder comes out to be (x-a). Find k and a.

If the polynomial f(x)=x^(4)-6x^(3)+16x^(2)-25x+10 is divided by another polynomial x^(2)-2x+k the remainder comes out to be x+a, find k and a.

If the polynomial (x^(4)+2x^(3)+8x^(2)+12x+18) is divided by another polynomial (x^(2)+5) , the remainder comes out to be (px+q) . Find the values of p and q .

If the polynomial x^(4)-6x^(3)+16x^(2)-25x+10 is divided by another polynomial x^(2)-2x+k, the remainder copies out to be x+a* find k and a.

If the polynomial (x^(4)+2x+8x^(2)+12x+18) is divided by another polynomial (x^(2)+5) , the remainder comes out to be (px+q). Find the values of p and q.

If the polynomial x^(19) + x^(17) +x^(13) +x^(11) +x^(7) +x^(4) +x^(3) is divided by (x^(2)+1) , then the remainder is

If the polynomial P(x)=2x+x-5x^(2)-x+1 is divided bythe polynomial Q(x)=x^(2)-x then the remainder is alinear polynomial R(x)=ax+b. Then (a+b) equals:

Divide the polynomial 6x^(4) - 44x^(2) + 6x - 3 by the polynomial x^(2) - 3x + 1 and verify the division algorithm.