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SSC CHSL 2022 PYQ — Question 61

SSC CHSL - 27 May 2022 - Shift 3 • Quantitative Aptitude • Q61

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When f(x) = 15x3– 14x2 – 4x + 10 is divided by (3x + 2), then the remainder is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 2

According to the question,

⇒15x3−14x2−4x+10, divisor =(3x+2)⇒15x3+10x2−24x2−16x+12x+8+2⇒5x2(3x+2)−8x(3x+2)+4(3x+2)+2⇒(3x+2)(5x2−8x+4)+2\begin{aligned} & \Rightarrow 15 x^3-14 x^2-4 x+10, \text { divisor }=(3 x+2) \\ & \Rightarrow 15 x^3+10 x^2-24 x^2-16 x+12 x+8+2 \\ & \Rightarrow 5 x^2(3 x+2)-8 x(3 x+2)+4(3 x+2)+2 \\ & \Rightarrow(3 x+2)\left(5 x^2-8 x+4\right)+2 \end{aligned}