Question

Find the remainder when x³

- 5x²+ 4x - 3 is divided by

(x - 2) with out actual division.​

Answer 1

Answer:

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Answer 2

Your question:

${x}^{3} - 5 {x}^{2} + 4x - 3$

The above given polynomial is divided by (x-2)

$let \: f(x) = {x}^{3} - 5 {x}^{2} + 4x - 3$

Substituting the value of x=2 in the above polynomial,

$= {2}^{3} - 5( {2})^{2} + 4(2) - 3 \\ 8 - 5(4) + 8 - 3 \\ = 8 - 20 + 8 - 3 \\ 16 - 23 \\ = - 7$

Hence, remainder is -7