Question

I need answer ASAP the question is in the picture

Answer 1

c

Explanation:

Answer 2

Answer: Choice C

`\text{x}^2 + (1)/(4)\text{x} + (1)/(64)`

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Reason:

The formula you can use is

`(a+b)^2 = a^2+2ab+b^2`

This is the perfect square trinomial formula.

In this case,

• a = x
• b = 1/8

The square of each gets us

• a^2 = x^2
• b^2 = (1/8)^2 = 1/64

Those form the outer terms, aka 1st and 3rd terms.

The 2ab term in the middle would be 2*x*(1/8) = (1/4)x

That leads us to be able to say
`\left(\text{x}+(1)/(8)\right)^2 = \text{x}^2 + (1)/(4)\text{x} + (1)/(64)`

You can use the FOIL rule or the box method as two ways to verify this answer. Also a graphing calculator can be used.