Question

Use the Remainder Theorem to find the remainder of (x3 – 2x2 + 3x – 1) ÷ (x + 2).

Answer 1

Zero of divisor (x+2) is -2

Now putting the value of x as -2,
${( - 2)}^{3} - 2 {( - 2)}^{2} + 3( - 2) - 1 \\ - 8 - 8 - 6 - 1 \\ - 23$