Learning Resources

The Rational Roots Theorem

Test yourself

Answers to Self Test

1. (a) Quotient = 2x² + x + 4 ; Remainder = 11

2x³ - 5x² + x - 1 = ( x - 3 )( 2x² + x + 4 ) + 11

(b) Quotient = 4x² - 13x + 29 ; Remainder = -60

4x³ - 5x² + 3x - 2 = (x + 2)(4x² - 13x + 29) - 60

2. x + 2 and x + 2

3. (a) { - 1, - , }

(b) { -1} A quadruple double root.