Addition of Polynomials
(4x2 + 2x) + (x2 + 6x)
5x2 +8x
(y2 - 10xy) - (2y2 + 3xy)
-y2 -13xy
(6x2)(5x)
30x3
(x + 4)(x - 2)
x2 + 2x - 8
Put the following in standard form and classify
3x+4x2+6x3
16x3+4x2+3x
Cubic Trinomial
(-3y2 + y) + (4y2 + 6y)
y2 +7y
(2x2 + 5x - 3) - (3x3 + 2x - 5)
-3x3 + 2x2 +3x + 2
(x2yz)(x2y4)
x4y5z
(2a + 2)(2a − 2)
4a2 − 4
Put the following in standard form and classify
15x+6x3+20x4+5x2
20x4+6x3+5x2+15x
Quartic Polynomial
(2a2 - 7a + 10) + (a2 + 4a + 7)
3a2 -3a +17
(-3a2 - 2a) - (4a2 - 4)
-7a2 - 2a + 4
(x3+4)(3x)
3x4+12x
(4m + 2)(4m + 5)
16m2 + 28m + 10
Put the following in standard form and classify
3xy+4x3y2+5x2y3+2y2
4x3y2+5x2y3+3xy+2y2
Quintic Polynomial
(2r2 - 5r + 7) + (3r3 - 6r)
3r3 + 2r2 -11r + 7
(4x3 + 5x + 2) - (1 + 2x - 3x2)
4x3 + 3x2 +3x + 1
2xy(3xz + 6z+2xy)
6x2yz+12xyz+4x2y2
(5b − 6)(5b2 + 4b − 2)
25b3 − 10b2 − 34b + 12
Put the following in standard form and classify
3ab2+16a2b2+8a2b
16a2b2+8a2b+3ab2
Quartic Trinomial
(5r3 - 6r2 +3r) + (r2 -2r - 3)
5r3 - 5r2 + r - 3
(4 - x - 2x2) - (-2 + 3x - x3)
x3 - 2x2 - 4x + 6
(3xy)2(x - 2+3y)
9x3y2-18x2y2+27x2y3
(8n2 + n − 4)(6n2 − 6n − 4)
48n4 − 42n3 − 62n2 + 20n + 16
Put the following in standard form and classify
2z(3x-2z+z2)+3x(4z+5x2)
15x3+18xz+2z3-4z2
Cubic Polynomial