Chapter 8 Quiz Review

Identify Polynomials, degree, type and leading coefficient

100

21

yes, 0, monomial, 21

200

-a² + 1

yes, 2, binomial, -1

300

c⁴-2c²+1

yes, 4, trinomial, 1 

400

-y³-3y²+3y+2

yes, 3, polynomial, -1

500

d + 3d^c

no

Add and Subtract Polynomials

100

(6x + 4) + (2x + 9) 

8x + 13

200

( 8y - 4y²) + (3y - 9y²)

-13y² + 11y

300

(y + 5) + (2y + 4y² - 2) 

4y² +3y +3

400

(g³- 2g² + 5g + 6) - (g² + 2g)

g³ - 3g² + 3g + 6

500

(t⁴ + 4t² - 7t + 30) - ( t⁵+ 6t⁴ + 18t³ - 9t² + 20t - 5) 

-t⁵ - 5t⁴ - 18t³ + 13t² -27t + 35

Simplify Polynomial Expressions

100

7(d + 5) 

7d + 35

200

3x²(2x - 3)

6x³ - 9x²

300

-4a³( -8a² + 2a + 4) 

32a⁵ - 8a⁴ - 16a³

400

3(5x² + 2x - 4) - x(7x² + 2x - 3) 

-7x³ + 13x² + 9x - 12

500

2j( 7j²k² + jk² + 5k) - 9(-2j²k² + 2k² +  3j)

14j³k² +2j²k² - 17jk + 18j²k³ - 18k³

Multiply Binomials

100

(x - 2) (x + 2)

x² - 4

200

(3c - 5)(c + 3)

3c² + 4c - 15

300

(11z - 5y)(3z + 2y)

- 10y² + 7yz + 33z² 

400

(5y + 7)²

25y² + 70y + 49

500

(3q - 5r)²

9q² - 30qr + 25r²

Multiply Trinomial

100

(2y + 11)(y² + 3y + 2) 

2y³ +17y² + 37y + 22

200

(4a + 7)(9a² + 2a - 7)

36a³ + 71a² - 14a - 49

300

(m² - 5m + 4)(m² + 7m - 3)

m⁴ + 2m³ - 34m² + 43m - 12

400

(x² + 5x - 1)(5x² - 6x + 1)

5x⁴ + 19x³ - 34x² + 11x - 1

500

(3b³ - 4b - 7)(2b² - b - 9)

6b⁵ - 3b⁴ - 35b³ - 10b² + 43b + 63