4.1 and 4.2

identify number of terms

100

5

1

200

x+4

2

300

4x³-2x²+x

3

400

2x⁴+5x²

2

500

-x⁵+4x²+2x+1

4

adding polynomials

100

(x²+3x+1) + (4x²+5)

5x²+3x+6

200

(2a²+3ab+4b²) + (7a²+ab-2b²)

9a²+4ab+2b²

300

(x³-7x²+6x⁴) + (-6x⁴+x³+3x²)

2x³-4x²

400

(-8k+3k³-k⁴) + (-8k³+8k²-4k

-5k³+4k²-12k

500

(9y³+3y²-2y+1) + (-5y²+y-4)

9y³-2y-y-3

subtracting polynomials

100

(3x²+2x+7) + (-x²-x-4)

2x²+x+3

200

(2k+k³+3) - (7k+4k³-2)

-3k³-5k+5

300

(-7+4m⁵+4m³) - (-7m³-8+6m⁵)

-2m⁵+11m³+1

400

(-4m⁵+4+3m³) - (5+3m³+3m⁵)

-7m⁵-1

500

(x²-3x+4) - (x³+7x-2)

-x³+x²-11x+6

multiplying polynomials

100

(x-5)(x²+4x-6)

x³-x²-26x+30

200

(5x²-4x+6)(-2x+3)

-10x³+8x²+18

300

(5x+3)(2x²+10x-6)

10x³+56x²-18

400

(x-3)(x+2)(x+4)

x³+3x²-10x-24

500

(x-5)(x+2)(x-6)

x³-9x²+8x+60

name the polynomial

100

x+4

binomial

200

4x²

monomial

300

4x³-2x²+x

trinomial

400

2x⁴+5x²

binomial

500

-x⁵+4x²+2x+1

polynomial of 4 terms