Question

subtract these polynomials.

$(4x^7 - x + 6) - (x^7 + 3) =$

a. $5x^7 - x + 9$

b. $3x^7 - x + 3$

c. $3x^7 - x + 9$

d. $5x^7 - x + 3$

Explanation:

Step1: Remove the parentheses

To subtract the polynomials, we first remove the parentheses. Remember that the negative sign in front of the second polynomial will distribute to each term inside it. So we have:
\(4x^7 - x + 6 - x^7 - 3\)

Step2: Combine like terms

• For the \(x^7\) terms: \(4x^7 - x^7 = 3x^7\)
• The \(x\) term remains as \(-x\) (since there are no other \(x\) terms to combine with)
• For the constant terms: \(6 - 3 = 3\)

Putting it all together, we get \(3x^7 - x + 3\)

Answer:

B. \(3x^7 - x + 3\)