What is it called when the degree is one?
Linear
(5g+4h+9gh)+(13h-8gh-6g)
17h-g+gh
(16y2+21y)-(8y2-3y)
8y2+24y
(9c6d4)(3c4d9)
27c10d13
11ab and -23ab
-12ab
What is it called when the degree is two
quadratic
(12t+8u+12tu)+(7t-6u-4tu)
19t+2u+8tu
(-4p4-p3+6p2-p)-(7p3+5p2+p-4)
-4p4-8p3+p2-2p+4
(4a3b7)(8a2b5)
32a5b12
xy and xy2
can't combine
What is it called when the degree is 3?
cubic
(5h3-8h)+(-2h3-h2-2h)
3h3-h2-10h
(11x2y2-7xy2+13y4)-(17x2y2-9xy2-5y4)
-6x2y2+2xy2+18y4
(5a4b5)(-7ab2)
-35a5b7
-6w4,2w, and 24w4
20w4
What is the name of the FIRST coefficient in a polynomial?
Leading coefficient
(4x3-2x2+0x+8)+(2x2+7x-5)
4x3+7x+3
Subtract (-2m4-3mn3-2n4) from the sum of (6m4-2mn3+16n4) and (6mn3+18n4)
36n4+8m4+7mn3
(-5x2y6)3
-125x6y18
13t and -24v
Cannot combine
For a polynomial to be in standard form what does it need?
To be in descending order/descending order
(3x3+3x2-4x+5)+(x3-2x2+x-4)
4x3+x2-3x+1
Subtract (-8v5-7v3w3-8w6) from the sum of (10v5-6v3w3+10w6) and (9v5+14v3w3)
18w6+27v5+15v3w3
4c2d5(-6c3d2+5c4d2)
-4c5d7 x (6-5c)
3xyz, 7xz, and 8yz
Cannot combine