Adding Polynomials
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(5a + 4) - (5a + 3)
1
What are like terms?
Terms with the same variable and the same exponent.
Multiply the Polynomials:
3x2 (2x4)
6x6
What's the highest exponent in a polynomial called?
Degree
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
When adding polynomials, what do the exponents do?
Remain the same.
Multiply the Polynomials:
3(2x + 4x2 - 5)
12x2 + 6x - 15
What is the number that stands alone in an expression called?
Constant
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
When multiplying polynomials, what do the exponents do?
Exponents add.
Multiply the Polynomials:
(x - 1)(−8x2 − 6x − 12 )
-8x3 - 6x2 - 12x + 8x2 + 6x + 12
-8x3 + 2x2 - 6x + 12 (Correct Answer)
What is the number in front of the highest degree term called?
Leading Coefficient
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
DOUBLE POINTS
A polynomial with 1 term is called:
Monomial.
Multiply the Polynomials:
(x-2)(x+6)
x2+4x-12
When do we add exponents?
When we multiply polynomials.
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
DOUBLE POINTS
A polynomial with 2 terms is called:
Binomial
Multiply the Polynomials:
(3x-6)(5x+3)
15x2-21x-18
When do we subtract exponents?
When we divide polynomials.
Add the polynomials:
(-7x5 + 14 -2x) + (10x4 + 7x + 5x5)
-2x5 + 10x4 +5x + 14
Subtract the following polynomials
(3 - 6x5 - 8x4) - (-6x4 - 3x - 8x5)
2x5 - 2x4 + 3x + 3
DOUBLE POINTS
A polynomial with 3 terms is called:
Trinomial
Multiply the following polynomials
(3r+ 5)2
9r2 + 30r + 25
What is the Quadratic Formula?
(-b+-sqrt(b^2-4ac))/(2a)