Question

Complete the square to transform the expression x2 + 6x + 5 into the form a(x − h)2 + k.

Answer 1

The correct answer is: $(x+3)^2-4$

Step-by-step explanation:

Given expression is:

$x^2+6x+5$

We can combine terms as:

$(x^2+6x) + 5$

Any term that is added to an expression is also subtracted from the expression

$[(x)^2 + 2.x.3] +5$

So,

$2ab = 6x\\2xb = 6x\\b = \frac{6x}{2x}\\b = 3$

As b = 3 so (b)^2 will be added and subtracted in the expression

$[x^2+6x] +5 + (3)^2-(3)^2$

$[(x)^2+6x+ (3)^2] + 5 - (3)^2\\(x+3)^2 + 5 -9\\(x+3)^2-4$

Hence,

The correct answer is: $(x+3)^2-4$

Keywords: Polynomials, expressions

Learn more about polynomials at:

• brainly.com/question/4054269
• brainly.com/question/4163549

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