factor the following polynomial written in standard form. select the correct answer choices listed below: B^2 - 14B + 49
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Given the following polynomial:
[tex]B^2-14B+49[/tex]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:
[tex]\begin{gathered} -7-7=-14 \\ \\ (-7)(-7)=49_{} \end{gathered}[/tex]2. Write the polynomial in factored form:
[tex]=(B-7)(B-7)[/tex]Hence, the answer is: Third option.