1.5 Algebraic Division

A polynomial function is defined as

f(x) = x^4 + ax^3 + 2x^2 + bx - 6

where $a$ and $b$ are constants.

a.

When $f (x)$ is divided by $(x - 1)$ , the remainder is $- 10$ . Show that $a + b = - 7$ .

[2]

b.

When $f (x)$ is divided by $(x + 2)$ , the remainder is $2$ . Find the value of $a$ and the value of $b$ .

[4]

A polynomial function is defined as

f(x) = x^4 + ax^3 + 2x^2 + bx - 6

where $a$ and $b$ are constants.

a.

When $f (x)$ is divided by $(x - 1)$ , the remainder is $- 10$ . Show that $a + b = - 7$ .

[2]

b.

When $f (x)$ is divided by $(x + 2)$ , the remainder is $2$ . Find the value of $a$ and the value of $b$ .

[4]

1.5 Algebraic Division Questions