Polynomial Operations Intro

Polynomial Operations Intro

Adding & Subtracting Polynomials

When Adding & Subtracting Polynomials

• Add or subtract the coefficients of like terms

• Like Terms: Same variable AND power

• Write answers in standard form

• Standard Form: list terms in order of their exponents from highest to lowest. Example: 6x - 2x²+3 should be written as -2x²+6x+3

Multiple Choice

What is the standard form of the polynomial,

7x - 125 - 6x⁴ + 14x²

• 125 + 7x - 14x² +6x⁴

• 6x⁴ -14x² - 7x +125

• 125 + 14x² + 7x - 6x⁴

• -6x⁴+ 14x² + 7x - 125

Multiple Choice

What is the standard form of the polynomial,

9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 9x² + 5x + 2x³ + 27

• 9x² + 5x + 27 + 2x³

• 2x³ + 9x² + 5x + 27

Multiple Choice

Simplify this expression:

(4 + 2n)³ + (5n³ + 2)

• 9n³ + 4n

• 7n³ + 6

• -3n³ + 2

• 7n⁶ + 6

Multiple Choice

Simplify this expression:

-8 (5b + 2) -7 (b - 5)

• -33b + 19

• -47b² + 21

• 33b - 19

• -47b +19

Multiple Choice

Simplify this expression.

(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴ + 2x² + 14x

• 16x⁴ + x² + 14x

• 11x⁴ + x² + 14x

• 11x⁴ + 2x² + 10x

Multiple Choice

Simplify this expression:

(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Multiple Choice

Simplify this expression:

(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x²+ 5x -7

• -2x² + 11x -4

Multiple Choice

Simplify this expression:

(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

Multiple Choice

Simplify this expression:

(2x + 5y) + (3x - 2y)

• 3x + 5y

• 5x + 3y

• 5x + 7y

• 7xy + 1xy

Multiple Choice

Simplify this expression:

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24

Multiple Choice

Simplify this expression:

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x