Polynomial Quiz

The following are examples of polynomials, EXCEPT.

• 9 + x + x3

• x4 - 5x +6x−2

• x3 - x2 + √6 x+ 1

• 0 -4 - x - 4x2

How many terms does the polynomial, 4a5 + a4 − a3 + 4a , have?

• 2

• 3

• 4

• 5

Which expression is a fifth-degree polynomial in three terms?

• 3a7 − a4 + 5a

• 5a4 − 4a3 + 4a

• 3a4 + a5 − 2a2

• −3a5 + a2 − 8a7 - 12

Determine the values of a and b, so that when x4 + x3 − 7x2 + ax + b is divided by (x-1)(x+2) the remainder is 0.

• a = 5; b = −10

• a = −10; b = 5

• a = −5; b = 10

• a = 10; b = −5

The leading term in this polynomial expression, 16𝑥 − 9𝑥 6 + 24𝑥 3+ 89 , is ____.

• 16𝑥

• −9𝑥 6

• 24𝑥 3

• 89

The process of dividing a polynomial by a linear factor in the way shown on the right is called:

• FOIL method

• squaring

• long division

• synthetic division

This set-up, is the same as ______.

• (5x4 + 2x3 − 9) ÷ (x − 3)

• (5x4 + 2x3 − 9) ÷ (x + 3)

• (5x5 + 2x3 + 9) ÷ (x − 3)

• (5x5 − 2x3 + 9) ÷ (x + 3)

Find the value of k so that the remainder of (x3 − 7x + k) ÷ (x + 1) is 2.

• 0

• -1

• -2

• -4

When a certain polynomial is divided by x-3, the quotient is x2 + 2x − 5 and the remainder is -3. What is the polynomial?

• x3 − x2 − 11x + 15

• x3 − x2 − 11x + 18

• x3 − x2 − 11x + 15

• x3 − x2 − 11x + 12

Which of the following statements is true?

• The square of a binomial is also a binomial.

• The terms of the cube of a binomial are all positive.

• The product of a sum and difference of two terms is a binomial.

• The product of a binomial and a trinomial is the square of a trinomial.