Question

1. what is the simplified form of $4x^3 + 3x^2 - x - 5 - 2x^3 + x^2 + x + 2?$a. $2x^3 + 4x^2 - 2x - 3$b. $6x^3 + 4x^2 - x - 3$c. $2x^3 + 4x^2 - 3$d. $6x^3 + 2x^2 + x - 3$2. what is the degree of the polynomial $5x^6 - 4x^3 + 3x^2 - 9?$a. 4b. 3c. 6d. 9

Explanation:

Step1: Combine like $x^3$ terms

$4x^3 - 2x^3 = 2x^3$

Step2: Combine like $x^2$ terms

$3x^2 + x^2 = 4x^2$

Step3: Combine like $x$ terms

$-x + x = 0x$

Step4: Combine constant terms

$-5 + 2 = -3$

Step5: Identify polynomial degree

The degree is the highest exponent of $x$ in $5x^6 - 4x^3 + 3x^2 - 9$, which is 6.

Answer:

1. c. $2x^3 + 4x^2 - 3$
2. c. 6