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Introduction

Remainder Theorem

Factor Theorem

Cubic Equations

Quiz 

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Quiz

Remainder & Factor Theorem

Find the remainder when 3x³ - x² + 7x + 5 is divided by 3x + 2.

Answers

Given that 2x³ - x² - 2x + 3 ≡ (Ax + B)(x - 1)(x + 2) + C(x - 1) + D, find the values of A, B, C and D. Hence or otherwise, deduce the remainder when 2x³ - x² - 2x + 3 is divided by x² + x - 2.

Answers

Solve the equation 2x³ + x² - 19x = 6, giving your answers to two decimal places where necessary.

Answers

The expression x³ + px² + qx + 6 has the same remainder when divided by x + 1 and 2 - x. Given that the remainder when the expression is divided by x + 3 is -60, find the value of p and of q.

Answers