Adding Polynomials
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
What is the formula for the product of a sum and difference (difference of squares)?
(a+b)(a-b) = a^2 - b^2
Factor out the GCF
30x-42
6(5x-7)
Factor (do not solve for x/ answer in the form (x+#) (x-#):
p2 +2p -35
(p-5)(p+7)
What is the formula for the square of a binomial?
(a+b)^2 = a^2 + 2ab + b^2
(a-b)^2 = a^2 - 2ab - b^2
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Factor the polynomial
x2-1
(x-1) (x+1)
Factor out the GCF
5a3+2a2
a2(5a+2)
Factor the following polynomial:
x2 - 10x + 21
(x-3)(x-7)
Multiply the square of a binomial below and find the product:
(x+2)2
x2 + 4x + 4
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Find the product of the binomials below by using the product of a sum and difference formula:
(x+12) (x-12)
x2 - 144
Factor:
2x2 - 8
2(x+2)(x-2)
Factor:
z2 - 4z - 21
(z+3)(z-7)
Factor the polynomial below by using the square of a binomial formula:
x2 - 12x + 36
(x-6)2 or (x-6)(x-6)
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Factor the polynomial
16x2-9
(4x-3) (4x+3)
Factor:
4p2 - 256
4(p+8)(p-8)
Factor the polynomial below using the slip and slide method:
3x2 + 8x + 4
(3x + 2)(x + 2)
Factor the polynomial below:
4x2 - 12x + 9
(2x - 3)2 or (2x - 3)(2x - 3)
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 the polynomial:
144x2-225
(12x-15) (12x+15)
Factor out the GCF
18n4+42n+6n2
6n(3n3+7+n)
Factor:
-5y2 - 22y - 8
(-5y-2)(y+4)
Find the square of the binomial product below:
(3x - 4y)2
9x2 - 24xy + 16y2