Polynomials

Classify It

100

The degree of this polynomial: x⁵ + x² + 1

What is 5?

200

What should be the leading term of this polynomial:

14x² + 4x -2 + x⁵ 

What is x⁵?

300

The classification of this expression:

8a² + 3a - 5

What is a trinomial?

400

The coefficient of the leading term:

-3y⁵ + 2y³ - 7y

What is -3?

500

The classification of this expression:

6xy^-3

What is not a polynomial?

Evaluate It

100

The expansion of 2x³(x + 5)

What is 2x⁴ + 10x³?

200

The expansion of (4x + 1)(2x² - 4)

What is 8x³ + 2x² - 16x - 4?

300

The expansion of:

(x + 5)(x - 2)

What is x² + 3x - 10?

400

The error in the following multiplication:

8a³b⁵(2a⁶ - 1/2a⁴b²) 

= 16a⁹b¹¹ - 4a⁷b⁷

What is adding 6 to b⁵, when it should have stayed b⁵.

500

The technique used to multiply this polynomial:

(2x + 3)(4x - 1)

= 2x(4x - 1) + 3(4x - 1)

= 8x² - 2x + 12x - 3

= 8x² + 10x - 3

What is the distributive method?

GCF it

100

The greatest common factor of the following polynomial:

5x + 10

What is 5?

200

The factorization of the following polynomial:

3a² - 6a

What is 3a(3a - 2)?

300

The greatest common factor of this polynomial:

15m⁴n² - 20m³n⁵ + 5m²n³

What is 5m²n²?

400

The common factor of this polynomial:

4x(x - 1) - 3(x - 1)

What is x-1?

500

The factorization of this polynomial:

4(x + 2) + x(x + 2)

What is (x + 2)(4 + x)?