यदि `p(x) = 5x^(4) + 4x^(3) - 3x + 12` एवं `q(x) = 2 + 7x - 8x^(2) + 9x^(3)` तो `p(x) - q(x)` ज्ञात करें। इसका घात ज्ञात करें।

Let P(x) = 4x^(2) - 3x + 2x^(3) + 5 and q(x) = x^(2) + 2x + 4 find p ( x) - q(x) .

Let P(x) = x^(7) - 3x^(5) +x^(3) - 7x^(2) +5 and q(x) = x- 2 . The remainder if p(x) is divided by q(x) is

Let P(x) = x^(7) - 3x^(5) +x^(3) - 7x^(2) +5 and q(x) = x- 2 . The remainder if p(x) is divided by q(x) is

Simplify the following : 5x^(4) - 7x^(2) +8x - 1 +3x^(2) - 9x^(2) + 7 - 3x^(4)+11x - 2 +8x^(2)

If P = 3x^(3) -5x + 9, Q = 4x^(3) + 5x^(2) -11 and R = 5x^(3) + 4x^(2) -3x +7 , then P -2 Q + R is

Check whether g(x) is a factor of p(x) by dividing the first polynomial by the second polynomial: (i) p(x) = 4x^(3) + 8x + 8x^(2) +7, g(x) =2x^(2) -x+1 , (ii) p(x) =x^(4) - 5x -2, g(x) =2-x^(2) , (iii) p(x) = 13x^(3) -19x^(2) + 12x +14, g(x) =2-2x +x^(2)