Question

factor the following polynomial written in standard form. select the correct answer choices listed below: B^2 - 14B + 49

Answer 1

Given the following polynomial:

`B^2-14B+49​`

You can factor it by following the steps shown below:

1. Find two numbers whose Sum is -14 and whose Product is 49 (Remember that a Sum is the result of an Addition and a Product is the result of a Multiplication). These numbers are -7 and -7, because:

`\begin{gathered} -7-7=-14 \\ \\ (-7)(-7)=49_{} \end{gathered}`

2. Write the polynomial in factored form:

`=(B-7)(B-7)`

Hence, the answer is: Third option.