Polynomial Vocabulary
How many terms does this polynomial have?
9x^7-8x^5+6x^2-14
This polynomial has FOUR terms.
Find the sum:
(3a+7)+(a-1)
4a+6
Find the product:
(x+6)(x-4)
x^2+2x-24
Factor
p^2+2p-35
(p+7)(p-5)
Solve by factoring:
(x+5)(x-7)(x+1)=0
x = -5, 7, and -1
Write the polynomial in standard form:
6-2x^2
-2x^2 + 6
Find the sum:
(x^2+6x-5)+(2x^2+15)
3x^2+6x+10
Find the product using the shortcut:
(x+1)(x-1)
x^2-1
Factor
x^2-4x-21
(x-7)(x+3)
Solve by factoring:
x(x+5)=0
x=0 and x=-5
What is the degree of this monomial?
8
Find the difference:
(2x^3+6x^2-x)-(x^3+5x-1)
x^3+6x^2-6x+1
Find the product:
(2x-1)(3x+2)
6x^2+1x-2
Factor
3t^2+16t-12
(3t-2)(t+6)
Solve by factoring:
x^3-6x^2=0
x=0 and x=6
What is the degree of this polynomial?
-3p^6+4p^5-4
6
Find the difference:
(p+7)-(6p^2+13p)
-12p+7-6p^2
Find the product using a shortcut:
(7x-4y)(7x+4y)
49x^2-16y^2
Factor
-2y^2+7y-6
(-2y+3)(y-2)
Solve by factoring:
3x^3-9x^2-54x=0
x=0, x=-3, and x=6
What is the leading coefficient of this polynomial?
9x^6-5x^3-14x^8+15
-14
Find the difference:
(-y^2+y+2)-(y^2-5y-2)
-2y^2+6y+4
Find the product:
(x+4)(x^2+7x)
x^3+11x^2+28x
Factor
3x^3-9x^2-54x
3x(x+3)(x-6)
Solve by factoring:
x^3+3x^2-25x-75=0
x=-3, x=-5, and x=5