Polynomial functions

Question 1 of 10

Find the quotient when x² + 5x + 6 is divided by x + 2.

Question 2 of 10

If x = −1 is a root of x³ + 2x² − x − 2 = 0, the other roots are

Question 3 of 10

The equation x³ − 7x + 6 = 0 has roots

Question 4 of 10

Find the remainder when x³ − 2x + 5 is divided by (x − 2).

Question 5 of 10

If α, β and γ are roots of x³ − 6x² + 11x − 6 = 0, find α + β + γ.

Question 6 of 10

The sum of the roots of x² − 7x + 10 = 0 is

Question 7 of 10

The polynomial x³ + ax² + bx − 6 has factors (x − 1) and (x + 2). Find a.

Question 8 of 10

Which is a factor of x³ − 6x² + 11x − 6?

Question 9 of 10

The product of the roots of 2x² + 5x − 3 = 0 is

Question 10 of 10

When f(x) is divided by (x − 1) the remainder is 3, and by (x + 1) it is −1. The remainder when divided by (x² − 1) is