2-1 Adding and Subtracting Polynomials
Find the degree of each polynomial
a) x/4
b) -7xy
c) 21
d) 4x^2y
a. 1 b. 2 c. 0 d. 3
Find the product
6x(x^2-4x-3)
6x^3-24x^2-18x
Find the product
(y+9)(y+9)
y^2+18y+81
Find the GCF of the group of monomials
8y^3 and 28y
4y
Write the factored form of the trinomial:
x^2+15x+44
(x+11)(x+4)
Fact the trinomial:
4x^2+16x+12
4(x+1)(x+3)
Factor completely:
x^2+16x+64
(x+8)^2
Name the polynomial based on its degree and number of terms.
100x^2+3
quadratic binomial
Find the product
(2x+1)(4x+1)
8x^2+6x+1
Find the product
(2a+3b)^2
4a^2+12ab+9b^2
Find the GCF of the group of monomials
x^2y^3 and x^3y^5
x^2y^3
Write the factored form of the trinomial:
x^2-11x+24
(x-8)(x-3)
Fact the trinomial:
4x^2+13x+3
(4x+1)(x+3)
Factor completely:
100x^2-36
4(5x+3)(5x-3) & (10x-6)(10x+6)
Simplify the expression. Write the answer in standard form.
3z-7z^2-5z+5z^2+2z^2
-2z
Find the product
(x-8)(2x+3)
2x^2-13x-24
Find the product
(x-12)(x+12)
x^2-144
Factor out the GCF from the polynomial.
12x^2-15x
3x(4x-5)
Write the factored form of the trinomial:
x^2-13x-48
(x-16)(x+3)
Fact the trinomial:
21x^2-35x-14
7(3x+1)(x-2)
Factor completely:
-3x^3+18x^2-27x
-3x(x-3)^2
Add or Subtract. Write the answer in standard form.
(-7a^4-a+4a^2)-(-8a^2+a-7a^4)
12a^2-2a
Find the product
(x^2+3x)(3x^2-2x+4)
3x^4+7x^3-2x^2+12x
Find the Product
(3a-4b)(3a+4b)
9a^2-16b^2
Factor out the GCF from the polynomial.
24x^3y^2-30x^2y^3+12x^2y^4
6x^2y^2(4x-5y+2y^2)
Write the factored form of the trinomial:
x^2+15xy+54y^2
(x+9y)(x+6y)
Fact the trinomial:
2x^2+10xy+12y^2
2(x+2y)(x+3y)
Factor completely:
49x^3-16xy^2
x(7x+4y)(7x-4y)