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Question

If the quotient on dividing, 8x42x2+6x7 by 2x+1 is 4x3+px2qx+3, then find qp.

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Solution


We first divide the polynomial 8x42x2+6x7 by 2x+1 as shown in the above image:

From the above division, we observe that the quotient is 4x32x2+3. Also, the given quotient is 4x3+px2qx+3. So, comparing the coefficients of x and x2, we get:

p=2 and q=0

Therefore, qp=0(2)=2

Hence, qp=2.

1228564_621745_ans_dbfa4b8cbb394bb5a530b670e6fd7940.jpg

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