Unit 7

Adding/Subtracting Polynomials

100

(2x² + 5x - 3) + (x² -2x + 10)

3x² + 3x + 7

200

(5x² - 3x - 10) - (2x² + 9x + 2)

3x² - 12x - 12

300

(2x² + 3x) – (4 – x²) + (-3x – 2)

3x² - 6

400

What is (4a + 4) subtracted from (6a - 12)?

2a - 16

500

3(x² - 1) - (x² -7x +10)

2x² + 7x - 13

Multiplying Polynomials

100

(4x³y⁴z)(2x²y⁶z³)

8x⁵y¹⁰z⁴

200

(x+3)(3x + 4)

3x² + 13x + 12

300

(5x - 6)(4x - 1)

20x² - 29x + 6

400

(x+8)(x-14)

x² -6x - 112

500

What is the area of a rectangular garden that has sides of 6x² and 4x + 8?

6x²(4x + 8) = 24x³ + 48x²

GCF

100

Find the GCF

4x²y and 6xy

2xy

200

Find GCF of

12x⁴y² , 9x²y² and 15xy²

3xy²

300

Find the GCF:

108t² and 60t

12t

400

Find the GCF of 

54c²d³ and 36c³d²

18c²d²

500

RANDOM HIDDEN QUESTION:

In a sequence, the first term is 4 and the common difference is 3. The fifth term of this sequence is:

4 + (n-1)3

4 + (5-1)3

4 + (4)3

=16

Factoring

100

8x⁴ - 32x² + 36x

4x(2x³ - 8x + 9)

200

x² - 18x + 45

(x - 15)(x -3)

300

4x²y - 6xy

2xy(2x - 3)

400

x² - 7x - 78

(x + 6)(x - 13)

500

x² + 39x - 126

(x - 42)(x - 3)

Perfect Square

100

4x⁶ - 25

(2x³ - 5)(2x³ + 5)

200

16x¹⁰ - 9y⁴

(4x⁵ - 3y³)(4x⁵ + 3y³)

300

125m⁴ - 20n⁴

5(5m ²+ 2n ² )(5m ²– 2n ² )

400

The area of a rectangle is (9m⁸– n⁴) cm². What is a possible length of one side, in terms of m and n?

9 is a perfect square.

(3m⁴ - n²)(3m⁴ - n²)

500

Factor fully

4x⁴m – 36y⁴m

4m(x⁴ - 9y⁴)

4m(x² + 3y²)(x² - 3y²)