Adding Polynomials
Add the Polynomials
(4x + 9) + (x - 4)
5x + 5
Subtract the polynomials:
(5a + 4) - (5a + 3)
1
Factor.
n2 - 5n + 6
(n-2)(n-3)
Multiply the Polynomials:
(3x2 - 2)(2x4)
6x6 - 4x4
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
Factor.
x2 - 4x + 24
Prime
Multiply the Polynomials:
3x4(2x + 4x2 - 5)
6x5 + 12x5 - 15x4
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
Factor.
y2 + 10y + 24
(y+4)(y+6)
Multiply the Polynomials:
(x - 1)(−8x2 − 6x − 12 )
-8x3 - 6x2 - 12x + 8x2 + 6x + 12
-8x3 + 2x2 - 6x + 12 (Correct Answer)
What is the FULL name of the polynomial?
6x4 + 2x - 1
Quartic Trinomial
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
Factor.
4x2 - 35x + 49
Multiply the Polynomials:
(x4 - 2x + 5)(x5 + 6x - 11)
x9 - 2x6 + 11x5 - 11x4 - 12x2 + 52x -55
What is the FULL name of the polynomial?
3x2 + 2
Quadratic Binomial
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Factor.
3p2 - 2p - 5
(3p-5)(p+1)
Multiply the Polynomials:
(7x4 - 6)2
49x8 - 84x4 + 36
What is the degree of the monomial?
3ab6y2
Degree of 9
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
Factor.
7a2 + 53a + 28
(7a+4)(a+7)
Multiply the following polynomials
(3r + 5)2
9r2 + 30r + 25
What is the degree?
-3
Degree of 0