Exponents and Polynomials

What technique can be use to add polynomials?

• combining like terms
• counting the exponents
• subtracting the coefficients
• multiplying the variables

 $\left(2x^2+5x-7\right)+\left(-4x^2+6x+3\right)$  Find the sum.

• 2x² + 3x + 1

• -2x² - 11x - 4

• 2x²+ 5x - 7

• -2x² + 11x - 4

Find the difference.
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9
• 3p³ + 4p² - p + 3
• 4p³ -3p² +16p -10
• 4p³ +3p² + 16p + 10

Find the sum:

(3x - 4) + (12x + 10)

• x - 12

• 15x + 6

• 36x + 40

• 17x + 9,000

Find the sum:

(9x + 17) + (19x - 27)

• 28x + 44

• 28x - 10

• -28x + 10

• -171x - 459

Find the difference:

(13x + 30) - (20x + 6)

• -7x + 24

• -33x - 42

• 133x + 36

• 260x + 180

Find the difference:

(r² + s²) – (5r² + 4s²)

• –4r² +5s²

• –4r² – 3s²

• –5r⁴ – 4s⁴

• –4r² + 3s²

Find the sum.

(5x² -3x + 4) + (6x -3x² - 3)

• 3x² + 2x + 1

• 2x² + 3x +1

• 2x² + 5x - 7

• 3x² + 4x⁵ -7x

Find the sum.

(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

Find the difference.

(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4