Question

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

Answer 1

......hope it helps........

Answer 2

Answer:

$6x^4-44x^2 + 6x -3 = (x^2-3x + 1 \times 6x^2+18x+4)+(-7)$

Step-by-step explanation:

$Dividend =6x^4-44x^2 + 6x -3$

$Divisor =x^2-3x + 1$

$Dividend = (Divisor \times Quotient)+Remainder$

$6x^4-44x^2 + 6x -3 = (x^2-3x + 1 \times 6x^2)+(18x^3-50x^2+6x-3)$

$6x^4-44x^2 + 6x -3 = (x^2-3x + 1 \times 6x^2+18x)+(4x^2-12x-3)$

$6x^4-44x^2 + 6x -3 = (x^2-3x + 1 \times 6x^2+18x+4)+(-7)$

Hence verified .