Polynomial Terminology
What is the leading term of the polynomial
-6x^3+5x^2-8
-6x^3
Simplify
(5x^3+7x-2)+(x^3-2)
6x^3+7x-4
Given
f(x)=2x+3 and g(x)=7x-5
evaluate
f(x)+g(x)
9x-2
Given
f(x)=2x+6 and g(x)=1/2x
Find
f(g(10))
16
What is the leading coefficient of the polynomial
-6x^3+5x^2-8
-6
Simplify
(4x^2-2x)-(3x-5)
4x^2-5x+5
Given
f(x)=3x^2+1 and g(x)=5x^2-6
evaluate
(g-f)(-2)
2x^2-7
Given
f(x)=2x+6 and g(x)=1/2x
Find
g(f(-4))
-1
What is the constant term of the polynomial
-6x^3+5x^2-8
-8
Simplify
(2x+7)^2
4x^2-28x+49
Given
f(x)=2x+3 and g(x)=-3x-5
evaluate
(f*g)(x)
-6x^2-19x-15
Given
f(x)=4x-3 and g(x)=x^2-5
Find
(f o g)(-2))
-7
What is the degree of the polynomial
-6x^3+5x^2-8
4
(x+3)(3x^2-5x+2)
3x^3+4x^2-13x+6
Given
f(x)=x^2+1 and g(x)=2x-6
evaluate
(f+f)(5)
52
Given
f(x)=4x-3 and g(x)=x^2-5
Find
f(g(x))
4x^2-23
Name the polynomial based on its degree
-6x^3+5x^2-8
quartic
(5x+2)^3
(125x^3+(150x^2)+60x+8
Given
f(x)=x^2+1 and g(x)=2x-6
evaluate
(g-f)(-2)
-15
Given
f(x)=4x-3 and g(x)=x^2-5
Find
g(f(x))
16x^2-24x+4