Vocabulary
When written in standard form, what is the product of the leading coefficient and the constant?
(3x-1)(2x−3)
18
Write as a polynomial in standard form:
(9m^2 - 7m +4) - (m^2 - 3m + 8)
8m^2 - 4m - 4
Factor completely:
12x^2-27x-27
3(x-3)(4x+3)
Factor completely:
10x^5-210x^3-1000x
10x(x+5)(x-5)(x^2+4)
What is the product of the constant and three times the leading coefficient of the following:
(2x+1)(x-3)(x-2)
6 x 6 = 36
Write as polynomial in standard form:
(5x^2 +8) - (2x^2 +6x - 3)
3x^2 - 6x+11
Factor completely:
x^4+6x^2-40
(x+2)(x-2)(x^2+10)
Factor completely:
5x^14+30x^8-35x^2
5x^2(x^3+1)(x^3-1)(x^6+7)
5x^2(x-1)(x+1)(x^2+x+1)(x^2-x+1)(x^6+7)
What is the sum of the leading coefficient and the constant of the following polynomial?
10x^2-2x^3+7+12x
-9
Write as a trinomial in standard form:
2(4x^2 - 8x +3) - 5(2x -x^2+4)
13x^2 - 26x - 14
Factor completely:
(6x+7)^2-(3x+5)(6x+7)
(6x+7)(3x+2)
Factor completely:
12x^5-39x^3-225x
3x(2x+5)(2x-5)(x^2+3)
What is the product of the degree of the following trinomial and its leading coefficient?
3x + 4x^2 - 15
8
Write as a trinomial in standard form:
(n+5)(n-5) +(n-2)^2
2n^2 - 29n +4
Factor completely:
(5x+2)^2-(2x-5)^2
(7x-3)(3x+7)
Factor completely:
-54x^11-102x^7+56x^3
-2x^3(3x^4+7)(3x^2+2)(3x^2-3)
What is the degree of the following polynomial minus the constant?
80x^2 - 45
47
Write as a simplified polynomial in standard form where
(x+8)^2
is subtracted from
(3x-1)
-x^2 - 13x - 65
Factor completely:
x^3+5x^2+8x+40
(x+5)(x^2+8)
Factor completely:
-10x^21+820x^13-810x^5
-10x^5(x^4+9)(x^2+3)(x^2-3)(x^4+1)(x^2+1)(x+1)(x-1)