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Question

If x2 - 6x + 11 is a factor of bi-quadratic equation x4 + x3- 25 x2 + 41x + 66 = 0. Find the product of other factor of bi-quadratic equation and x+1.


A

x3+8x2+13x+6

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B

x2+7x+6

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C

x3+7x2+5x+1

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D

x3+x2+x+6

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Solution

The correct option is A

x3+8x2+13x+6


x2+7x+6x26x+11x4+x325x2+41x+66 _x4_+6x3_+11x2 7x336x2 7x3 +42x2+77x 6x236x+66 6x236x+66 0 Otherfactorisx2+7x+6.

Product of ( x2 + 7x + 6) × (x + 1) = x3 + 7 x2 + 6x + x2 + 7x + 6 = x3 + 8 x2 + 13x + 6


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