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 - 4)(x + 6)
x2 + 2x - 24
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
A polynomial with 1 term is called:
Monomial.
Multiply the Polynomials:
(3x + 4)(5x - 2)
15x2+14x-8
When do we add exponents?
When we multiply polynomials.
Write an expression in standard form for the PERIMETER of a triangle with sides 3x + 2, 5x, and 4x - 2
12x
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
A polynomial with 2 terms is called:
Binomial
Multiply the Polynomials:
(x - 1)(−8x2 − 6x − 12 )
-8x3 - 6x2 - 12x + 8x2 + 6x + 12
-8x3 + 2x2 - 6x + 12 (Correct Answer)
When do we subtract exponents?
When we divide polynomials.