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Adding/Subtracting and Multiplying Polynomials

100

Name this specific type of polynomial:

x² + 7

Binomial

200

Add this polynomial:

(x² + 2.3x - 4) + (2x² - 5.4x - 3)

3x² - 3.1x - 7

300

Subtract this polynomial:

(5y² - 2y + 1) - (y² + y + 3)

4y² - y - 2

400

Multiply these polynomial's:

(5x - 4)(2x + 1)

10x² - 3x - 4

500

(x² + 3x)(3x² - 2x + 4)

3x⁴ + 7x³ - 2x² + 12x

GCF

100

What is the GCF of this binomial? 

12x⁵ + 4x³

4x³

200

What is the GCF of this polynomial?

-18y⁴ + 6y³ + 24y² 

6y²

300

Factor out the GCF

12x² - 15x

3x(4x - 5)

400

Factor out the GCF

-16y⁶ + 28y⁴ - 20y³ +36y²

4y²(-4y⁴ + 7y² - 5y + 9)

500

Factor out the GCF

The area of a rectangle is 2x² + 4x. What are the length and width of the rectangle?

2x and (x + 2)

Factoring trinomials with "1" in front

100

Factor

x² + 5x + 6

(x + 2)(x + 3)

200

Factor

x² - 11x + 18

(x - 2)(x - 9)

300

Factor

x² - 2x - 8

(x - 4)(x + 2)

400

Factor 

x² - 12x + 27

(x - 9)(x - 3)

500

A quilt has an area of x² + 13x + 30 cm², how much longer is one side of the quilt than the other

Factored it is (x + 10)(x + 3), so 7 cm longer

Factoring trinomials with other numbers in front

100

Factor 

3x³ + 15x² - 18x

3x(x - 1)(x + 6)

200

Factor

5x² - 35x + 50

5(x - 5)(x - 2)

300

Factor 

6x² + 11x + 4

(3x + 4)(2x + 1)

400

Factor 

10x² + 17x + 3

(5x + 1)(2x + 3)

500

35x² + 17x + 2

(5x + 1)(7x + 2)

Special

100

Find the product of

(5x - 3)²

25x² - 30x + 9

200

Multiply

(3a - 4b)(3a + 4b)

3a² - 16b²

300

Factor

x² + 14x + 49

(x + 7)²

400

Factor

x² - 64 

(x - 8)(x + 8)

500

I have to start the math now so I did not have time to make this question. I am currently looking at all of you taking the math star test. No points for this, unless you know exactly what I typed for the answer

;)