Question

week 5 quiz due sunday by 11:59pm points 100 submitting an external tool available sep 29 question 2 · 1 point factor $d^{2}+66d - 67$. provide your answer below:

Explanation:

Step1: Find two numbers

We need two numbers that multiply to - 67 and add up to 66. The numbers are 67 and - 1 since \(67\times(-1)=-67\) and \(67+( - 1)=66\).

Step2: Rewrite the middle - term

Rewrite \(d^{2}+66d - 67\) as \(d^{2}+67d - d - 67\).

Step3: Group the terms

Group the terms: \((d^{2}+67d)-(d + 67)\).

Step4: Factor out the common factors

Factor out \(d\) from the first group and 1 from the second group: \(d(d + 67)-1(d + 67)\).

Step5: Factor out the common binomial factor

Factor out \((d + 67)\): \((d + 67)(d-1)\).

Answer:

\((d + 67)(d - 1)\)