Q95 / 160 · AP EAMCET 2020 (17 Sep Shift 2) · Mathematics

What is the remainder of \(2 x^3-5 x^2+7\) when divided with \((x-2)\) ?

  • A
    -3
  • B
    -2
  • Correct answer
    C
    3
  • D
    2

Solution

Using remainder theorem, remainder is \(P(x=2)\). So, remainder is, \(\begin{aligned} P(x=2) & =2 \times 2^3-5 \times 2^2+7 \\ & =16-20+7 \\ & =3 \end{aligned}\)

Hence, the correct answer is option: 'C'.

Relevant Questions