Polynomials to Quadratics

Adding

100

5x+3x -2x

6x

200

(4x-3)+(x+2)

5x+1

300

(3x²-2x+5)+(-7x²+x-2)

-4x²-x+3

400

(2x-1)+(3x²+5x-2)+(9x²-1)

12x²+7x-4

500

 A rectangle has a width of 3x-1, and a length of 3x²+x+1. What is the perimeter?

6x²+8x

Subtracting

100

(2x+1)- (5x)

-3x+1

200

(4x-2)-(3x+2)

x-4

300

(3x²-2x+5)-(-7x²+x-2)

10x²-3x+7

400

(2x-1)-(3x²+5x-2)-(9x²-1)

-12x²-3x+2

500

What is the width of a rectangle whose length is 10x+2 and perimeter is 28x?

9x-2

Multiplying

100

(2x²)(4x)

8x³

200

4x(2x-1)

8x²-4x

300

(2x+2)(5x-1)

10x²-8x-2

400

(2x-1)(x²+3x-2)

2x³+5x²-7x+2

500

What is the area of a rectangle with side lengths of (2x²+4) and (7x²-3)

14x⁴+22x²-12

difference of squares short cut

100

Factor the following:

x²-9

(x+3)(x-3)

200

Find the zeros of the following:

x²-36

x=6 and -6

300

Solve for x:

4x²-16

factors are (2x+4)(2x-4)

so   x=-2, and 2

400

Factor the following:

x²+7

Not factorable

500

Factor the following:

a²-b²

(a+b)(a-b)

Factoring

100

2x²-4x

Hint: Just take out GCF

2x(x-2)

200

Factor the following:

x²-3x+-18

(x-6)(x+3)

300

3x²-15x+18

3(x-3)(x-6)

400

Solve for x:

x²-10x+21

x=7 and 3