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

Factor The Following Polynomial Written In Standard Form Select The Correct Answer Choices Listed Below B2 14B 49 class=

Sagot :

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.

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