Adding Polynomials
Add the following polynomials:
(x2+2x-4) + (-3x+2)
x2-x-2
Subtract the following polynomials:
(x2+2x-4) - (-3x+2)
x2 +5x -6
Multiply the following polynomials:
(x+5)(x-5)
x2 -25
Determine Kelsey's error and correct it:
4x2 + 5x2 = 9x4
Kelsey incorrectly added the exponents. The correction should be:
4x2 + 5x2 = 9x2
Add the following polynomials:
(x2+2x) + (2x2+3x +3)
3x2 +5x +3
Subtract the following polynomials:
(x2+2x) - (2x2+3x +3)
-x2 -x -3
Multiply the following polynomials:
(2x+2)(x+3)
2x2 +8x +6
Determine Enrique's mistake and correct it:
4x3 + 5x3 + x2= 20x3 + x2
Enrique multiplied the coefficients instead of adding them. It should be:
4x3 + 5x3 + x2= 9x3 + x2
Add the following polynomials:
(3x3-x2+1) + (x3+2x2-4)
4x3+x2-3
Subtract the following polynomials:
(3x3-x2+1) - (x3+2x2-4)
2x3 -3x2 +5
Multiply the following polynomials:
(x+3)2
x2+6x+9
4x - (3x -2) = 4x - 3x -2 = x-2
Jose forgot to distribute the negative to the -2. It should be:
4x - (3x -2) = 4x - 3x +2 = x +2
Add the following polynomials:
(2x3+4x+5) + (x2+2x-4)
2x3+x2+6x+1
Subtract the following polynomials:
(2x3+4x+5) - (x2+2x-4)
2x3 -x2 +2x +9
Multiply the following polynomials:
(x-3)(x2 +3x +3)
x3 -6x -9
Determine Irene's mistake and correct it:
2x(x-4) = 3x2-6x
Irene is adding the coefficients inserted of multiplying them. It should be:
2x(x-4) = 2x2-8x
Add the following polynomials:
(x2-3x+4) + (-3x2-2x-4)
-2x2-5x
Subtract the following polynomials:
(x2-3x+4) - (-3x2-2x-4)
4x2 -x +8
Multiply the following polynomials:
(x+2)(-x2 -2x +1)
-x3 -4x2 -3x +2
Determine Rocio's mistake and correct it:
(x+3)2 = x2 + 9
Rocio squared each term instead of squaring the whole polynomial. It should be:
(x+3)2 = (x+3)(x+3) = x2+3x+3x+ 9 = x2 +6x +9