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
What is the degree and the leading coefficient of this polynomial?
-3x6+5x3-6x+10
D = 6, LC = -3
(-3y2 + y) + (4y2 + 6y)
y2 +7y
(2x2 + 5x - 3) - (3x3 + 2x - 5)
-3x3 + 2x2 +3x + 2
(x2yz)(x2y4)
x4y5z
(a + 3)(a − 2)
a2 + 1a − 6
What is the name of the polynomial using the number of terms and the degree?
5x5+2x2-9
Trinomial of degree 5
(2a2 - 7a + 10) + (a2 + 4a + 7)
3a2 -3a +17
(-3a2 - 2a) - (4a2 - 4)
-7a2 - 2a + 4
How many terms are in a monomial?
One
(4m + 2)(4m + 5)
16m2 + 28m + 10
How many terms are in a polynomial?
Many aka four or more
(2r2 - 5r + 7) + (3r3 - 6r)
3r3 + 2r2 -11r + 7
(4x3 + 5x + 2) - (1 + 2x - 3x2)
4x3 + 3x2 +3x + 1
2x(x + 6)
2x2 + 12x
Daily Double:
(5b − 6)(5b2 + 4b − 2)
25b3 − 10b2 − 34b + 12
Simplify the following:
5x2-8+5x2+2
10x2-6
(5r3 - 6r2 +3r) + (r2 -2r - 3)
5r3 - 5r2 + r - 3
(4 - x - 2x2) - (-2 + 3x - x3)
x3 - 2x2 - 4x + 6
Daily Double:
(x - 2)2
x2 - 4x + 4
(8n2 + n − 4)(6n2 − 6n − 4)
48n4 − 42n3 − 62n2 + 20n + 16
How many terms are in a binomial?
Two