Algebra 1B Unit 7 - Polynomials

Adding/Subtracting Polynomials

100

Name the following polynomial by number of terms and degree.

7x^3

Cubic/3rd degree monomial

200

Write the following polynomial in standard notation.

4x^2+x^5-3x^3-2+x

x^5-3x^3+4x^2+x-2

300

3x^2+2x^4-2x^2

2x^4+x^2

400

(7x^2-3x+11)-(4x^2+5x-2)

3x^2-8x+13

Multiplying Binomials

100

4x^2*8x^6

32x^8

200

5x^2(x-12)

5x^3-60x^2

300

(3x+7)(9x-2)

27x^2+57x-14

400

(2x^2+5x-11)(6x+2)

12x^3+34x^2-56x-22

Factoring out the GCF

100

4x^2+12

4(x^2+3)

200

4x^2-6x

2x(2x-3)

300

2x^2+10x-4

2(x^2+5x-2)

400

5x^4+35x^3-90x^2

5x^2(x^2+7x-18)

Factoring Basic Polynomials (a=1)

100

x^2+2x+1

(x+1)(x+1) or (x+1)^2

200

x^2+7x+10

(x+5)(x+2)

300

x^2-9x+20

(x-5)(x-4)

400

x^2-9

(x+3)(x-3)

Factoring Immediate Trinomials (a not equal to 1)

100

3x^2-3x-18

3(x+2)(x-3)

200

16x^2-49

(4x+7)(4x-7)

300

4x^2+12x+9

(2x+3)(2x+3) or (2x+3)^2

400

2x^2-3x-20

(x-4)(2x+5)