Polynomials and Exponents Review

How many terms in a monomial?

• 1

• 2

• 3

• 4

Answer explanation

a monomial is an expression that has only 1 term.

Example: 27m

How many terms in a binomial?

• 1

• 2

• 3

• 4

Answer explanation

A binomial is an expression that has 2 terms.

Example: 7y + 3

How many terms are in a trinomial?

• 1

• 2

• 3

• 4

Answer explanation

A trinomial is an expression that has three terms.

Example: x² + 3x + 5

In the expression

3m³ - 6m² + 18m - 24

What number is the constant

• 3

• 18

• 24

• 6

Answer explanation

In an expression, a number by itself without a variable is called a constant.

Example: x² + 3x + 8

8 has no variable beside it, so it is the constant.

What is the coefficient of the second term in the expression:

2x² + 7x + 21

• 2

• 7

• 7x

• 21

Answer explanation

The coefficient of the second term is 7. The coefficient is the number that comes before the variable in the term.

X³ is the same as?

• 3x

• x + x + x 

• x * x * x

• 3

Answer explanation

When raising a value to any power, the value is multiplied by itself the number of times indicated by the exponent.

Example: 4³ = 4* 4 * 4 = 64

y¹ = ?

• 0

• (y x y)

• -1

• y

Answer explanation

Any value raised to the power of 1 is that value.

Example: 36¹ = 36

a⁰ = ?

• a

• 0

• 1

• unsolvable

Answer explanation

any value raised to the power of 0 is 1.

Example: 27⁰ = 1

b^-2 = ?

• -2b

(w²)³ = ?

• w⁵

• w¹

• w⁶

Answer explanation

When raising a power to a power, the exponents are multiplied together.

Example: (n³)² = n⁶

^{(The product of 2 and 3 is 6)}