8.1-8.3

Deg, LC, standard form

100

What is degree of  x² + 3x?

2

200

What is the leading coefficient? 4x² - 8x + y

4

300

Is this a polynomial? If so, what kind of polynomial?

14m² - 9

Yes, two algebraic unlike terms. Binomial.

400

What is the degree of the polynomial? 13x²y² + 9x²y - 4y

deg: 4

500

Rewrite in standard form. What is the leading coefficient and degree? 4y² - 8y + 7y³ - 9

7y³ + 4y² - 8y - 9 

LC: 7

Degree: 3

Adding polynomials

100

(8x - 2)+(-6x - 6)

2x - 8

200

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

- 5x - 2

300

(4x³ - 2x + 5) + (9x + x³)

5x³ + 7x + 5

400

(7x³ + 3x² - 2x + 1) + (15x + 11 - x³ + x²)

6x³ + 4x² + 13x + 12

500

(15x² - 3x + 8) + (-x² + 1) + (-14x² + 8x)

5x + 9

Subtracting polynomials

100

(3x + 2) - (7x - 1)

-4x + 3

200

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

x - 6

300

(4x³ - 2x) - (9x + x³ + 5)

3x³ -11x - 5

400

(7x³ + 3x² - 2x + 1) - (15x + 11 - x³ + x²)

8x³ + 2x² - 17x - 10

500

(15x² - 3x + 8) - (-x² + 1) - (-14x² + 8x)

30x² -11x + 7

Multiplying polynomials

100

(p + 3)(p − 8)

p² - 5p -24

200

(r − 5)(2r − 1)

2r² -11r + 5

300

(x − 3)(x − 6)

x² − 9x + 18

400

(x + 5)(x² − 3x − 2)

x³ + 2x² − 17x − 10

500

(x − 4)(2x² + x − 3)

2x³ − 7x² − 7x + 12

Solving

100

Solve 2x - 4 = 12

x = 8

200

Solve 3x = 2x + 8

x = 8

300

Solve 4x - 5x + 7 = 2x - 14

x = 7

400

Solve 4(x - 3) = 3x

x = 12 

500

Solve -3(2x - 5) = -x + 5

x = 2