Polynomials

adding

100

(3x⁴+ 6x²-8)+(8x⁴+5x³+15)

11x⁴+5x³+6x²+17

200

(6x²-3x+4)+(15x³-21x+15x²-5)

21x³+22x²-22x-5

300

(15x⁵-18x³-25)+15x²+21x²+15x⁵)

30x⁵-39x³+15x²-25 

400

(25x⁶-15x⁵+25x⁴)+ (10x²-11x-5)

26x⁶-15x⁵+25x⁴+10x²-11x-5

500

(30x²+25x-15)+(-25x²+15x³+15)

15x³+5x²+25x

subtracting

100

(3x²-8x+7)-(2x²-6x+12)

x²-2x-5

200

(6x²-3x+4)-(-2x²+2x-2)

8x²-5x+6

300

(5x²-9x+11)-(-2x²+3x-2)

7x²-12x+13

400

(3x²-8x+2)-(3x²-2x+5)

-6x-3

500

(2x²+x-4)-(2x²-5x-3)-(-4x²+3x-1)

4x²+3x-6

multiplying

100

(2x+5)(-4x+7)

-8x²-6x+35

200

(-3x-4)(6x+5)

-18x²-39x-29

300

(2x-3)(6x²+4x+9)

-12x³-20x²+6x-27

400

(6x-4)(-4x²+8x-1)

-24x³+64x²-38x+4

500

(5x³+10x²-15x)(3x²+15x-9)

15x⁵+105x⁴+60x³-315x²+135x

word problems

100

Linda has a rectangular garden that is 3x-5 feet by 2x+8 feet. She wants a fence around the perimitor , each foot is $5. What is the total cost?

the total cost is 50x+30

200

Jacks house is 15x²+10x-5, Trey's house is 8x²+5x+15. How much bigger is Jacks house than Treys?

7x²+5x+10

300

Mallory bought a house that was 10x+5 by 3x²-5x. What is the area of the house Mallory just bought?

30x³+15x²-50x-25

400

Kaylee has a new bedroom that is 4x²-5x by 4x²-2x, what is the perimeter of her room? 

16x²-14x

500

If mary has 8x⁴+5x³-2 apples, and her sister has double the apples. How many apples does her sister have?

64x⁸+80x⁷+25x⁶-32x⁴-20x³+2