Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \underline{}.\]$

Step-by-step explanation:

Given

Required

Fill in the gap

Represent the blank with k

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

Divide the coefficient by 2

Take the square of this result, to give k

Substitute 121 for k

The expression can be factorized as follows;

Hence, the quadratic expression is

the answer is a

step-by-step explanation:

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