Math, asked by midhunrajk9406, 9 months ago

What must be added to the polynomial 4x⁴+2x³-2x²+x-1 so that the resulting polynomial is divisible by x²-2x-3​

Answers

Answered by kingekrishna802
1

Answer:

 {)4111)) {1y1y1 \\ 11..4.4.}^{2} }^{2}

Step-by-step explanation:

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Answered by rohithreddy2001
1

91x + 89 is added to 4x⁴ + 2x³ - 2x² + x - 1 so that the resulting polynomial is divisible by x² - 2x - 3.

Explanation:

Given:

p(x) = 4x⁴ + 2x³ - 2x² + x - 1

g(x) = x² - 2x - 3

Step-by-step explanation:

x² - 2x - 3)4x⁴ + 2x³ - 2x² + x - 1(4x² + 10x + 30

4x⁴ - 8x³ - 12x²

---------------------------------

10x³ + 10x² + x - 1

10x³ - 20x² - 30x

-----------------------------

30x² + 31x - 1

30x² - 60x - 90

-------------------------

91x + 89

∴ When the polynomial 91x + 89 is added to the polynomial 4x⁴ + 2x³ - 2x² + x - 1 then the added polynomial is completely divisible by x² - 2x - 3.

Hope it helps.

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