Chapter 6- Polynomials and Factoring

Name The Polynomial

100

Name the Polynomial based on its degree

-2xy²

cubic

200

Name the Polynomial based on its degree

3xy+2z

Quadratic

300

Name the Polynomial based on its degree

45x²+14xy³-3x

fourth degree

400

Name the Polynomial based on its degree

13x⁶y²z²-12x³

tenth degree

500

Name the Polynomial based on its degree

4x+2xy+5xy³z-1

fifth degree

Add/ Subtract Polynomials

100

Add/ Subtract the polynomials and write in standard form.

(3x²+2x) + (-x+9)

3x²+x+9

200

Add/ Subtract the polynomials and write in standard form.

(−2x² + 5.6x − 7) + (3.8x + 7)

-2x²+9.4x

300

Add/ Subtract the polynomials and write in standard form.

(3x² + 4x + 2) − (−x + 4)

3x²+5x-2

400

Add/ Subtract the polynomials and write in standard form.

(−5x − 6) − (4x² + 6)

-4x²-5x-12

500

Add/ Subtract the polynomials and write in standard form.

(6x³+4x+2)-(-3x²+2x-4)

6x³+3x²+2x+6

Multiply/ Divide Polynomials

100

Multiply the polynomial

(x+2)(x-3)

x²-x-6

200

Divide the polynomial

81x³y²+27x²y-18xy  divided by  9xy

9x²y+3x-2

300

Divide the polynomial

3x⁴−15x³−15x²   divided by 3x²

x²-5x-5

400

Divide the polynomials

(−5/2𝑥³𝑦 +2/3𝑥²𝑦² -16𝑥²𝑦) ÷ (−2𝑥²𝑦)

5/4x-1/3y+1/12

500

Find the product of the polynomials

1/3x²+2 and x²-6x+15

1/3x⁴-2x³+7x²-12x+30

Factor Polynomials

100

factor completely 

36-x²

(6-x)(6+x)

200

Factor completely 

4x²-81

(2x-9)(2x+9)

300

Factor completely 

x³-4x²-32x

x(x+4)(x-8)

400

Factor completely 

3x⁴+45x³+42x²

3x²(x+1)(x+14)

500

Factor completely

x⁴-11x²+30

(x²-5)(x²-6)