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
Are you allowed to combine (add/subtract) unlike terms? (ex. x2 and x3)
No
(-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
Arrange the following in standard form:
3x+5+x^3+2x^2
x^3+2x^2+3x+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
What does standard form mean?
Exponents from greatest to least.
(2r2 - 5r + 7) + (3r3 - 6r)
3r3 + 2r2 -11r + 7
(4x3 + 5x + 2) - (1 + 2x - 3x2)
4x3 + 3x2 +3x + 1
2x(x + 6)
2x2 + 12x
(5b − 6)(5b2 + 4b − 2)
25b3 − 10b2 − 34b + 12
What do you do with exponents when you multiply their terms? ex.
x^2timesx^3
add them. x5
(5r3 - 6r2 +3r) + (r2 -2r - 3)
5r3 - 5r2 + r - 3
(4 - x - 2x2) - (-2 + 3x - x3)
x3 - 2x2 - 4x + 6
(x - 2)2
x2 - 4x + 4
(8n2 + n − 4)(6n2 − 6n − 4)
48n4 − 42n3 − 62n2 + 20n + 16
What two binomials' product could result in the following product?
4x^2+14x+10
(2x+5)(2x+2)