Adding Polynomials
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(10g + 4) - (3g - 6)
7g + 10
Multiply the Polynomials:
3x (2x - 10)
6x2 - 30x
Multiply the polynomials:
(x - 5)(x + 5)
x2 - 25
3x+5
Linear Binomial
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h + 6)
-12h - 8
Multiply the Polynomials:
(x + 4) (x + 5)
x2 + 9x + 20
When adding polynomials, what happens to the exponents?
They remain the same
3x3+12x+1
Cubic Trinomial
Add the polynomials:
(x2 +3x + 5) + ( -4x2 +6x)
-3x2+9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 - 2x - 8)
2x2 + 2x + 3
Multiply the Polynomials:
(x + 3)2
x2 + 6x + 9
To put a polynomial in standard form you must be writing terms in descending order from highest ________ to lowest _________.
Degree - Degree
4x2
Quadratic Monomial
Add the polynomials:
(6t2 + 8t3 - 7) + (2 + 7t2 - 4t3)
4t3 + 13t2 - 5
Subtract the Polynomials:
(8k2 + 6k3 - 4) - (5k3 + 7k - 3k2)
k3 + 5k2 -7k - 4
Multiply the Polynomials:
(y + 5)( 2y - 6)
3y2 + 4y - 30
Name a method commonly used to multiply polynomials.
FOIL or
BOX method
8x5+x4+4x3-2x+1
Fifth Degree Polynomial
Add the polynomials:
(-1 + x2 + 2x) + (1 - 2x + 2x2)
3x2
Subtract the Polynomials:
(11x4 - 3x2) - (3x2 - 2x + 4x4)
7x4 - 6x2 + 2x
Multiply the Polynomials:
-4 (2x2 + 6x - 3)
-8x2 - 24x + 12
Rewrite in standard form:
-2x + 4x3 + x4 + 1 + 8x5
8x5 + x4 + 4x3 - 2x +1
2x2-x+7
Quadratic Trinomial