A1 Ch 7 Review

Naming Polynomials

100

Name the following by the number of terms:

f(x)=4x²-5x

Binomial

200

Name the following by the number of terms:

f(x)=4x⁵+3x-10

Trinomial

300

Name the following by the degree:

f(x)=4x²-5x

Quadratic

400

Name the following by the degree:

y = x² - 7x³ + 4x

cubic

500

Name the following by both the degree and the number of terms:

f(x) = 4x⁴

Quartic Monomial

Adding and Subtracting Polynomials

100

Simplify

(3x² - 5x + 6) + (5x² - 6x +3)

8x² - 11x + 9

200

(3x⁴ - 3x² - 10) + (x⁴ + 3x² - 10) 

4x⁴ - 20

300

Simplify

(2x - 20) - (-5x - 4)

7x - 16

400

Simplify

(3x² - 5x + 6) - (5x² - 6x + 3)

-2x² + 1x + 3

500

Simplify

(3x + x³) - (5x³ + 10x) + (2x³ - 2)

-2x³ - 7x - 2

Multiply and Divide Monomials

100

Simplify

(14x²)(-2x³)

-28x⁵

200

Simplify

15x¹⁴ / 5x⁶

3x⁸

300

Simplify 

(3x³y⁴)²

9x⁶y⁸

400

8x⁵y³ / 32xy⁷

x⁴ / 4y⁴

500

(6x⁴y)² / 12x¹⁰y⁵

3 / x²y³

Multiply mono by poly

100

4x(x + 3)

4x² + 12x

200

13x³y(3x² - 2xy + y²)

39x⁵y - 26x⁴y² + 13x³y³

300

4x(x + 1) - (3x² - 10x)

x² + 14x

400

3x⁴(x² - 4) + 2x²(x⁴ + 10x²)

5x⁶ + 8x⁴

500

3x(2x² - 5) - x²(3x - 1)

3x³ + x² - 15x 

Multiply poly by poly

100

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

6x² + 5x - 4

200

(5x - 7)(x - 4)

5x² - 27x + 28

300

(x² - 4)(2x² - 5)

2x⁴ - 13x² + 20

400

(7x² - 5)(2x + 7)

14x³ + 49x² - 10x - 35

500

(4x - 2)(6x² - 2x + 1)

24x³ - 20x² + 8x - 2