WorkSHEET 3.1 Cubic and quartic functions Name: __________________________

1 Consider the polynomial.

(a) What is the degree of the polynomial?

(b) What is the coefficient of x?

(a) The polynomial has degree 5, which is the highest power of x.

(b) The coefficient of x is 1, which is the value of the number preceding x.

2 Which of the following are polynomial expressions?(a)(b)(c)

(d)

(e)

Expressions (a), (b) and (e) are polynomial expressions.

Expressions (c) and (d) are not polynomial expressions because they contain a negative power and a fractional power respectively.

3 Expand .

4 Expand .

5 Expand .

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WorkSHEET 3.1 Cubic and quartic functions

6 Divide by and state the quotient and remainder.

The quotient is .The remainder is 5.

7 Divide by and state the quotient and remainder.

The quotient is .The remainder is 225.

8 For P(x) = x3 + 4x2 6x + 9, find and P(2a).

9 For , find

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WorkSHEET 3.1 Cubic and quartic functions

10 What is the remainder when is divided by ? R = P(4)

The remainder is 236.

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