Polynomial Operations and Applications

(2x + 3)(x² + 4x + 1)

• 2x³ + 10x² + 14x + 4 

• 2x³ + 11x² + 14x + 3 

• -2x³ - 11x² + 14x + 5 

• x³ - 11x² + 14x + 3 

Simplify the expression
(x - 3)²

• x² - 6x + 9

• x² + 9

• x² + 6x - 9

• x² + 6x + 9

(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

Subtract the polynomials.
(3x³ + 3x² + 5) – (x³ – 2x² + x – 4)

• 4x³ + 5x² + 9

• 2x³ + 5x² – x + 9

• 2x³ + 1x – 1x² – 1

• 2x⁶ +5x⁵ – 1x – 1

(3x − 6)(7x + 7)

• 21x² − 63x + 42

• 21x² − 21x − 42

• 21x² − 42

• 21x² + 63x + 42

What is the degree of the polynomial:
7x³ – 8x² + 9

• 5

• 2

• 6

• 3

Simplify the expression: 7v + 2 + 12 + 2v

• 23

• 23v

• 9 + 14v

• 9v + 14

Multiply the Polynomials
2a²(3a - 5)-6a(8a² - 2a + 4)

• -42a³ + 2a² - 24a

• 6a³ - 10a²

• -48a³ + 12a² - 24a

• -42a³ - 22a² + 24a

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

• 7, 24y

• 3x, 9x

• 3x, -9x

• 3x, -9x, 2x²

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4