Question

find the sum of the polynomials below.

$(8x^9 + 4x - 4) + (5x^9 + x + 5)$

a. $13x^9 - 5x + 1$

b. $40x^9 + 4x^2 + 1$

c. $13x^9 + 5x + 1$

d. $40x^{18} + 5x^2 + 1$

Explanation:

Step1: Remove parentheses

To add the polynomials, we first remove the parentheses: \(8x^9 + 4x - 4 + 5x^9 + x + 5\)

Step2: Combine like terms for \(x^9\) terms

Combine the \(x^9\) terms: \(8x^9 + 5x^9 = (8 + 5)x^9 = 13x^9\)

Step3: Combine like terms for \(x\) terms

Combine the \(x\) terms: \(4x + x = (4 + 1)x = 5x\)

Step4: Combine constant terms

Combine the constant terms: \(-4 + 5 = 1\)

Step5: Write the sum

Putting it all together, the sum is \(13x^9 + 5x + 1\)

Answer:

C. \(13x^9 + 5x + 1\)