Add/Sub/Multiplication Polynomials

Adding Polynomials

100

G=3t²-5t+6

P=-8t²+7t-9

G+P=

-5t²+2t-3

200

E=6c²-2c-1

F=-4c²+7c+5

E+F=

2c²+5c+4

300

Find the sum of -2a²+a+6 and -3a²+2a-5.

-5a²+3a+1

400

Find the sum of 3x²+7x-4 and 8x²-6x+2.

11x²+x-2

500

(n²+2mn+m²)+(9n²-6mn+m²)

10n²-4mn+2m²

Subtracting Polynomials

100

P=-4b²+6b-9

Q=7b²-2b-5

P-Q=

-11b²+8b-4

200

X=2y²+7y+11
Y=8y²-5y+7

X-Y=

-6y²+12y+4

300

Subtract 11b²-4b+7 from b²+8b-9.

-10b²+12b-16

400

Subtract 4p²-9p+11 from p²-5p+4.

-3p²+4p-7

500

(b³+5bc+10c³)-(12b³+6bc²+c³)

-11b³-6bc²+5bc+9c³

Multiplying Polynomials

100

5m⁴(6m²)

30m⁶

200

-4w(w²-9)

-4w³⁺36w

300

(5a+2)(a+4)

5a²+22a+8

400

(d²+3)(d²+2d+1)

d⁴+2d³+4d²+6d+3

500

(2x²+2x+1)(3x²+5x+2)

6x⁴+16x³+17x²+9x+2

Perimeter & Area

100

What does it mean to find the perimeter of a shape?

You have to add the all the sides of the shape.

200

What does it mean to find the area of a rectangle?

You have to multiply the length(width).

300

What is the perimeter of a rectangle with side lengths (3x²-4x) and (4x²+5x)?

14x²+2x

400

What is the area of a rectangle with side lengths (3x²-7x+2) and (7x²+x-12)?

20x²-12x-20

500

The width of a rectangle is 5x-4. The perimeter of the rectangle is 14x+4. What is the length of the rectangle?

2x+6