Question

m 2.3 test - polynomial operations & factoring
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1. an expression is shown:

(4x² + 5x + 1) + (2x² - 6x - 7)
what is the sum of the polynomials in standard form?
a. 6x² - x - 6
b. 6x⁴ - x² - 6
c. 6x² + x + 6
d. 6x⁴ + x² + 6

Explanation:

Step1: Remove parentheses

To add the two polynomials, we first remove the parentheses: \( (4x^2 + 5x + 1) + (2x^2 - 6x - 7)=4x^2 + 5x + 1+2x^2 - 6x - 7\)

Step2: Combine like terms

• For the \(x^2\) terms: \(4x^2+2x^2 = 6x^2\)
• For the \(x\) terms: \(5x-6x=-x\)
• For the constant terms: \(1 - 7=-6\)

Putting it all together, we get \(6x^2 - x - 6\)

Answer:

A. \(6x^2 - x - 6\)