When 16 times 4 12 times 3 10 times 2 8x 20 is divided by 4x 3 the quotient and the remainder are re...........

Quantitative Aptitiude (CLAT) Number System

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When 16×4+12×3-10×2+8x+20 is divided by 4x-3, the quotient and the remainder are, respectively

4x³ + 6x² + 2x and 61/2

4x³ + 6x² + 7/2 and 51/2

6x² + 2x + 2/7 and 61/2

4x³ + 6x² + 2x + 7/2 and 61/2

Explanation:

Since we have to divide a 4th degree expression with a linear (degree = 1) expression,
thus the correct answer will start with an expression of 3rd degree and then have terms of the 2nd degree,
1st degree and a constant term respectively.
Only, option 4 satisfies.
Alternatively, divide the given expression 16x⁴+12x³ – 10x² +8x+20 directly by (4x – 3),
and get the quotient as 4x³+6x²+2x+7/2 and remainder as 61/2