Prove that  is a factor of . (Hint: Consider subtracting and adding

class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_49c91cf56d004f2094c3e909b" />to the binomial .)

?

List the steps involved.



What will be an ideal response?


Step 1: We must verify that the statement is true for . However, is a factor of .

Step 2: Let's suggest that the statement is true for , i.e. is a factor of . Let's examine if is a factor of . Let's subtract and odd to the and get .

Because the binomial is divisible by , the binomial is a factor of .


Mathematics

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A.
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C.
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Mathematics