Question

What is remainder and quotient when polynomial 2x^6-3x^4 - 5x^2+3x-2is divided by 4 -3x-x^2

Answer 1

Answer:

729x - 1464 is remainder

Step-by-step explanation:

Answer 2

Given : polynomial, 2x^6 - 3x⁴ - 5x² + 3x - 2 is divided by (4 - 3x - x²)

To find : The remainder and quotient.

solution : Let's divide (2x^6 - 3x⁴ - 5x² + 3x - 2) by (4 - 3x - x²)

4-3x-x²)2x^6-3x⁴-5x²+3x-2(-2x⁴+6x³-23x²+93x-366

2x^6+6x^5-8x⁴

.........................................................

-6x^5+5x⁴-5x²

-6x^5-18x⁴+24x³

...................................................

+23x⁴-24x³-5x²

23x⁴+69x³-92x²

........................................................

-93x³+87x²+3x

-93x³-279x²+372x

.....................................................

366x²-369x-2

366x²+1098x-1464

..............................................................

-1467x+1462

Therefore remainder = (-1467x + 1462)

quotient = (-2x⁴ + 6x³ - 23x² + 93x - 366)

also read similar questions : Divide 2x³+3x²+5x+6 by x²+3x+2. Find the quotient and remainder and verify the division algorithm

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