POLYNOMIALS

POLYNOMIAL BY DEGREE AND NUMBER OF TERMS

100

6

constant, monomial

200

^y2+2v-5

quadratic, trinomial

300

7p+1

linear, binomial

400

4a³-8

cubic, binomial

500

2m⁴-7m²-5m+1

quartic, polynomial

ADDING AND SUBTRACTING

100

(k²-4k+7)+(k²+9k-3)

2k²+5k+4

200

(w³-2w²-5)+(3w²-11)

w³+w²-16

300

(9x-5y)+(3x+2y-7)

12x-3y-7

400

Find the sum of (8p²-2p+15) and (11-2p²-1)

6p²-2p+25

500

Subtract (2w²-5w+10)from (w³+6w²-2)

w³+4w²+5w-12

MULTIPLYING BINOMIALS

100

(y+8)(y+1)

y²+9y+8

200

(k-4)(k+5)

K²+K-20

300

(6a+2)(2a+3)

12a²+22a+6

400

(2m-5)²

4m²-20m+25

500

(3a+1)(5a²+2a-6)

-15a³+11a²-16a-6

DIVIDING A POLYNOMIAL BY A MONOMIAL

100

6x+9 divide by 3

2x+3

200

10v²+5v-15 divide by 5

2v²+v-3

300

-20x²-5x divide by 5x

-4x-1

400

14x⁶y³-49x⁵y⁹ divide by -7x⁴y

-2x²y²+7xy⁸

500

30r⁵s⁹-12r⁴s⁸+3r³s⁷ divide by 3r²s²

10r³s⁷-4r²s⁶+rs⁵

MONOMIAL AND POLYNOMIAL

100

k(k-9)

k²-9k

200

9a(a+1)

9a²+9a

300

-4g²(2g+7)

-8g³-28g²

400

5r²s²(-2r²+3rs-4s²)

-10r⁴+15r²s³-4s

500

-7c³d²(9c²d²-4cd⁵)

-63c⁵d⁴+28c⁴d⁷