Adding/Subtracting
Polynomials
Polynomials
If f(x)= -8x2+2x-5 and g(x)= 3x2-x+7 then what is f(x) + g(x)?
-5x2+x+2
Find the product below in simplest polynomial form:
(x+5)(x-5)
x2-25
What is the greatest common factor of the terms 8a3b7, 12ab5, and 20a4b6 ?
4ab5
Factor the following trinomial:
x2+5x+6
(x+2)(x+3)
Which expression below is NOT a polynomial?
a) 4x3 c) 3x2+2x-4
b) 5x2+x-4x-3 d) -8x2+5x
b) 5x2+x-4x-3
If f(x)= 4x2-9x+7 and g(x)= 3x2-3x-2, then what is f(x) + g(x)?
7x2-12x+5
Find the product below in simplest polynomial form:
(x-6)2
x2-12x+36
Factor the following binomial:
x2-36
(x+6)(x-6)
Factor the following trinomial:
3x3-3x2-90x
3x(x-6)(x+5)
What is the value of 3x3+7x2-8 when x=4?
296
If f(x)= 6x2+8x-3 and g(x)= -3x2-4x+2 then what is f(x) - g(x)?
9x2+12x-5
Find the product below in simplest polynomial form:
(x+3)(x-3)(x+6)(x-6)
x4-45x2+324
Factor the following expression:
9x2-4
(3x+2)(3x-2)
Factor the following trinomial:
5x2-14x+8
(5x-4)(x-2)
Factor:
4x2-23x-6
(4x+1)(x-6)
If f(x)= -10x2+3x-9 and g(x)= 4x2-7x+9 then what is f(x) - g(x)?
-14x2+10x-18
Find the product below in simplest polynomial form:
(3x+2)3
27x3+54x2+36x+8
Simplify the following expression:
(x+2)(x-6)+(x+2)(x+3)
(x+2)(2x-3)
Factor the following trinomial:
10x2+9x+2
(2x+1)(5x+2)
Which of the following does NOT represent a correctly factored form of the binomial 72x2+36x?
a) 9(8x2+4x) c) 36x(2x+x)
b) 12x(6x+3) d) 36x(2x+1)
c) 36x(2x+x)
If f(x)= 20x2-13x+4 and g(x)= 5x2-7x+11 then what is f(x) - g(x)?
15x2-6x-7
Find the product below in simplest polynomial form:
2x2-7x+8+4(x2+9x-1)
6x2+29x+4
Which of the following is NOT a correct factorization of the binomial 10x2+40x?
a) 10x(x+4) c) 5x(2x+4)
b) 10(x2+4x) d) 5x(2x+8)
c) 5x(2x+4)
Factor the following expression completely:
x4-13x2+36
(x+2)(x-2)(x+3)(x-3)
a) Find the product shown below in simplest form
(x+7)(x-7)
b) Explain how you can use this product to determine that (27)(13)=351
a) x2-49
b) (20+7)(20-7)=400-49=351