Addition of Polynomials
Subtraction of Polynomials
Multiply Monomials
Multiplying Polynomials
Composition of functions
100
(4x^2+2x) + (x^2+6x)
5x2+8x
100
(y^2-10xy) - (2y^2+3xy)
-y^2-13xy
100
(6x2)(5x)
30x3
100
(x + 4)(x - 2)
x2 + 2x - 8
100
If
g(x)=x^2
and
f(x)=x+1
what is
g(f(1))
?
g(f(1))=g(1+1)=g(2)=2^2=4
200
(-3y^2+y) + (4y^2+6y)
y2 +7y
200
(2x^2 + 5x - 3) - (3x^3 + 2x - 5)
-3x3 + 2x2 +3x + 2
200
(x2yz)(x2y4)
x4y5z
200
(a + 3)(a − 2)
a2 + 1a − 6
200
If g(x)=x2 and f(x)=x+1, what is f(g(5))?
f(g(5))=f(25)=26
300
(2a^2 - 7a + 10) + (a^2 + 4a + 7)
3a2 -3a +17
300
(-3a^2-2a) - (4a^2-4)
-7a2 - 2a + 4
300
How many terms are in a monomial?
One
300
(4m + 2)(4m + 5)
16m2 + 28m + 10
300
400
(2r^2-5r+7)+(3r^3-6r)
3r^3 + 2r^2 -11r + 7
400
(4x^3+5x+2) - (1+2x-3x^2)
4x3 + 3x2 +3x + 1
400
2x(x + 6)
2x2 + 12x
400
(5b−6)(5b2+4b−2)
25b3 − 10b2 − 34b + 12
400
If
g(x)=x^2
and
f(x)= x+1
then what is
g(f(x))?
g(x+1)=(x+1)^2=x^2+2x+1
500
(5r^3-6r^2+3r) + (r^2-2r-3)
5r^3 - 5r^2 + r - 3
500
(4-x-2x^2) - (-2+3x-x^3)
x3 - 2x2 - 4x + 6
500
(x - 2)2
x2 - 4x + 4
500
(8n^2+n−4)(6n^2−6n−4)
48n4 − 42n3 − 62n2 + 20n + 16
500
If
g(x)=x+2
and
f(x)= x^2+1
then what is
f(g(x))?
(simplify your answer)
f(g(x))=f(x+2)=(x+2)^2+1=(x+2)(x+2)+1=x^2+4x+5