Divide the polynomial f(x) = 3x^4 - x^3 - 3x + 5 by the polynomial g(x) = x - 1 - x^2 and verify the division algori... | SA 3m | Maths | SuperPadhai

Polynomials > Question

SA3 marksYear: 2020MediumCBSE Class 10

polynomialsdivision-algorithm

Question

Divide the polynomial

f (x) = 3 x^{4} - x^{3} - 3 x + 5

by the polynomial

g (x) = x - 1 - x^{2}

and verify the division algorithm.

Solution

1

$Polynomial long division of 3x⁴-x³-3x+5 by -x²+x-1$

Polynomial long division of 3x⁴-x³-3x+5 by -x²+x-1

+2 marks

2

Divisor

\times

Quotient

+

Remainder

= (- x^{2} + x - 1) (x - 2) + 3 = - x^{3} + 3 x^{2} - 3 x + 5 =

Dividend

+1 mark

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