Adding & Subtracting Polynomials
(r^4 +r) + ( 5r^4 +4r)
6r^4 +5r
6x(x^2-4x-3)
6x^3-24x^2-18x
Factor out the GCF of the following Polynomial:
4x^2-8x-6
2(2x^2-4x-3)
Factor the following binomial. x^2 - 81
HINT: Check for Difference of 2 Squares.
(x+9)(x-9)
What is the GCF of 24xy and 56xz
8x
(3b-2) - (5b^4 +5)
-5b^4+3b-7
(2x +3) (4x+1)
8x^2 +14x+3
Factor out the GCF from the terms of the polynomial:
-2x^5-6x^3-16x^2
HINT: We want the leading coefficient to be positive.
-2x^2(x^3+3x+8)
Write the product in standard form.
(y+9)(y+9)
HINT: Is this a binomial squared?
y^2 +18y+81
Which of the following is a fifth degree binomial?
a. 6x^5-x^2+6
b. 17x^5
c. 2x^5-5x^3
d. x^4-2x^3+3x^2+5x-2
C - It has 2 terms, and the highest power of x is 5.
(14v^2-3+13u) + (6+11v^2+7u)
25v^2+20u+3
(3x-4)(2x+5)
6x^2+7x-20
Factor the following trinomial:
x^2+2x-15
HINT: use the Diamond Method.
(x+5)(x-3)
What is the product of (3x-5) and (3x+5)
HINT: Check for Sum & Difference Pattern.
9x^2-25
Write 7x^2-4+6x^3-4x -x^4 in Standard Form.
-x^4+6x^3+7x^2-4x-4
(8p-14p^3-2p^4) - (2p^3-6p^4-4p)
4p^4-16p^3+12p
(y+3)(2y^2-3y+4)
2y^3+3y^2-5y+12
Factor the following trinomial when
a ne 1.
4x^2+13x+3
HINT: use the Divide & Slide Method.
(4x+1)(x+3)
Factor the following: 16x^2-49
HINT: Check for Difference of 2 Squares.
(4x+7)(4x-7)
Combine like terms and write 4y+5y^2-6-5y+27-y^2 in Standard Form.
4y^2-y +21
(m^4n^4+4m^3n^3-12n^3)
+(10n^3 -12m^3n^3-8m^4n^4)
-7m^4n^4-8m^3n^3-2n^3
(-2x^2+1)(2x^2-3x-7)
-4x^4+6x^3+16x^2-3x-7
Write the factored form of the following trinomial:
x^2+4xy-32y^2
(x+8y)(x-4y)
Completely factor the following trinomial when
a ne 1.
8x^2-40x+50
HINT: Factor out the GCF, then check for a perfect square trinomial.
2(2x-5)^2
Completely factor the following trinomial. 15y^2+10y-40
HINT: Factor out the GCF first, then use the Divide & Slide Method.
5(y+2)(3y-4)