Operations with Functions

Addition

100

f(x)=x²+5x+4

g(x)=3x²+1

4x²+5x+5

200

f(x)=-3x²-2x-8

g(x)=9x²+4

6x²-2x-4

300

IN MOST FACTORED FORM

f(x)=x³-9x+18

g(x)=9x²+12x+9

(x²+3)(x+9)

400

IN MOST FACTORED FORM

f(x)=(x+2)(x+3)

g(x)=(x²-9)(x+2)

(x-2)(x+2)(x+3)

500

IN MOST FACTORED FORM

f(x)=-4x²(x+2)

g(x)=16(x+2)

-4(x-2)(x+2)²

Subtraction

100

(f-g)(x)

f(x)=x²-10x-3

g(x)=-12x-4

x²+2x+1

200

(g-f)(x)

f(x)=x²+5x-3

g(x)=x²+5x+7

10

300

IN MOST FACTORED FORM

(f-g)(x)

f(x)=(x+7)(x-9)

g(x)=-12x-87

(x+4)(x+6)

400

IN MOST FACTORED FORM

(g-f)(x)

f(x)=(x-11)(x+3)

g(x)=3(x²-9)

2(x+1)(x+3)

500

IN MOST FACTORED FORM

(f-g)(x)

f(x)=x(x+4)(x-4)

g(x)=-x²+16

(x+4)(x-4)(x+1)

Multiplication

100

f(x)=x³+2

g(x)=x+7

x⁴+7x³+2x+14 

200

f(x)=x²+3x-1

g(x)=x-5

x³-2x²-16x+5

300

f(x)=x-2

g(x)=(x-1)(x+9)

x³+6x²-25x+18

400

f(x)=x²-9

g(x)=(x+6)(x-2)

x⁴+4x³-21x²-36x+108

500

​​​​f(x)=x²-13x+40

g(x)=x+7

x³-6x²-51x+280

Division

100

(^f/_g)(x)

f(x)=x²-16

g(x)=x-4

x+4

200

(^f/_g)(x)

f(x)=x²+10x+21

g(x)=x+3

x+7

300

IN MOST FACTORED FORM

(^f/_g)(x)

f(x)=2x³+14x²-6x-42

g(x)=x²-3

2(x+7)

400

(^f/_g)(x)

f(x)=x²-9x

g(x)=x²-7x-18

^x/_(x+2)

500

(^f/_g)(x)

f(x)=(x+4)(x+2)(x-4)

g(x)=x³+2x²-16x-32

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