polynomials and factoring

adding and subtracting polynomials

100

find the degree of the monomial 2x

degree of 1

200

name the polynomial based on its degree and number of terms 3x^2+2x+1

degree: quadratic number of terms: trinomial

300

simplify: (4x^2+6x+7)+(2x^2-9x+1)

6x^2-3x+8

400

define: polynomial

a polynomial is a monomial or the sum or diffence of 2 or more monomials.

500

define: degree of a monomial

the degree of a monomial is the sum of the exponants of its variables.

multiplying and factoring

100

find the G.C.F 8x^2-12x

4x

200

simplify: (2x+3) (x+4)

2x^2+11x+12

300

simplify using F.O.I.L. (3x-5) (2x+7)

6x^2+11x-35

400

factor the following 7x^2+26x-8

(x+4)(7x+2)

500

find the equation for the shaded area. The outer rectangle=(3x+1) (2x+5) The inner rectangle=x(x+2)

=5x^2+15x+5

multiplying and factoring special cases

100

find (x+7y)^2

x^2+14xy+49y^2

200

find (t^3-6) (t^3+6)

t^6-36

300

64x^3 - 1

(4x - 1) (16x^2 +4x +1)

400

72aw^2 - 24aw +2a

2a(6w - 1)^2

500

(3x - 2)(9x^2 +6x +4)

27x^3 - 8

factoring trinomials

100

factor x^2+7x+12

(x+3) (x+4)

200

factor H^2-4HK-77K^2

(H+7K)(H-11K)

300

36m^2 + 12x + 1

(6m +1)^2

400

factor 18k^2-12k-6

6(3k+1)(k-1)

500

factor 1.)5d^2-14d-3 and2.) 2n^2+n-3 and 3.)20p^2-31p-9

1.) (5d+1)(d-3) 2.) (2n+3)(n-1) 3.) (5p-9)(4p+1)

factoring by grouping

100

factor a 4 term polonomial 4x^3+8x^2-5n-10

(4x^2-5)(n+2)

200

factor completly this polynomial 12p^4+10p^3-36p^2-30p

2p(p^2-3)(6p+5)

300

factor this trinomail by grouping 24q^2+25q-25

(3q+5)(8q-5)

400

find the possible dimension 80x^3+224x^2+60x

4x(10x+3)(2x+5)

500

find expresions for the possible dementions (factors) of each rectangular prism Prism 1: 6g^3+20g^2+16 Prism 2: 3n^3+10n^2+3n

Prism 1: 2g(3g+4)(g+2) Prism 2: n(3n+1)(n+3)