Verified Answer :

Solutions 

The expression equivalent to n^2 + 26n + 88  is 

n^2 + 26n + 88
(n + 4)(n + 22)

Answer:

Option B is correct.

The expression which is equivalent to  \(n^2+26n+88\)  is; \((n+22)(n+4)\)

Explanation:

Given the equation: \(n^2+26n+88\) for all values of n.

The quadratic equation in this form; \(ax^2+bx+c =0\)

First find two numbers that multiply to give ac and add to give b.

From the given equation;

a =1 , b = 26 and c =88

then,

the two number that multiply to give ac =88 is, 22 or 4

and they add up to give b=26 (i.e 22+4)

Now, rewrite the middle term i.e 26n with 22n and 4n , we have

\(n^2+22n+4n+88=0\)

Now, factor the first two terms and last two terms,

\(n(n+22)+4(n+22)\)

we see that \((n+22)\) is common to both terms so, we have;

\((n+22)(n+4)\)

Therefore, the expression \((n+22)(n+4)\) is equivalent to  \(n^2+26n+88\)

Check:

(n+4)(n+22) = \(n\cdot n+ 22n+4n+88\)=\(n^2+26n+88\)   [ True]



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