Chapter 7 Midquiz review

Polynomials

100

Find the degree: 

555

0

200

Find the degree of the polynomial: 

100xyz

3

300

Name the type and degree of the polynomial: 

3p⁷-14p-1

Trinomial - 7th degree

400

Find the quotient (divide!): 

(0.2x²+x)/(0.1x)

2x+10

500

Find the quotient (divide!): (3x³+6x²+9x) / 3x

x²+2x+3

Sums + differences

100

Find the difference: (k+5)−(3k−2)

-2k+7

200

Find the difference:

(6x+9)−(7x+1)

-x+8

300

Find the sum: 

(a²−3ab+2b²)+(−4a²+5ab−b²)

-3a²+2ab+b²

400

Find the sum: 

(b⁴ +1−2b²)+(−2b+3b² +3)

b⁴+b²-2b+4

500

Find the difference: (6g² +3g−8)−(−g² +12)

7g²+3g-20

Products and more

100

Find the product: (a-b)(a+b)

a²-b²

200

Find the product: (−8x⁴)(11x³)

-88x⁷

300

Find the product: (p-6)²

p²-12p+36

400

Find the product: (4n+3)(n+2)

4n²+11n+6

500

Find the product: (y²+3y−1)(y−6)

y³-3y²-19y+6

Zero-Product Property

100

solve: x(x-1)=0

x=0, x=1

200

solve:  x²(x+5)=0

x=0, x=-5

300

solve: (x+5)(x-10)=0

x=-5, x=10

400

solve: (2x-1)(2x+5)=0

x=1/2, x=-5/2

500

solve: (x-4)(x+4)(x-4)=0

x=-4, repeat roots at x=4

GCF's FTW

100

Factor:  5z² +45z

5z(z+9)

200

Factor: 5n⁶ + 2n⁵

n⁵(5n+2)

300

Factor: 3y³ − 9y²

3y²(y-3)

400

Factor: 15z³ + 12z²+3z

3z(5z²+4z+1)

500

Factor: 18x⁵ − 63x²

9x²(2x³-7)