Question

Find the value of c that makes the expression a perfect square trinomial x^2+22x+c with work

Answer 1

$\boxed{c=11}$

Explanation:

Here we have the following expression:

$x^2+22x+c$

A Perfect Square Trinomial is given by the form:

$(x+a)^2=x^2+2ax+a^2$

So matching terms, we can conclude that:

$2a=22 \\ \\ a=11 \\ \\ c=a^2=121$

So, substituting c into the expression:

$x^2+22x+121$

It is a perfect square because:

$x^2+22x+121=(x+11)^2$

Learn more:

Quadratic Equation in real life problems: brainly.com/question/10278062

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Answer 2

Answer:

121

Step-by-step explanation:

Use the formula  ( b 2 ) 2  in order to create a new term in order to find the perfect square trinomial.