Question

QUESTION 4 - 1 POINT Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. m² + m/3

Answer 1

Given

m² + m/3​

Find

Complete the square to make a perfect square trinomial.

Step-by-step explanation

Assume the missing part of the expression be k

so , the equation becomes ,

`m^2+(1)/(3)m+k`

to solve for k , we need to square the half the coefficient of m.

since the coefficient of m is 1/3 , then

k =

`\begin{gathered} ((1)/(2)*(1)/(3))^2 \\ \\ ((1)/(6))^2 \\ \\ (1)/(36) \end{gathered}`

hence ,

`\begin{gathered} m^2+(1)/(3)m+(1)/(36) \\ (m+(1)/(6))^2 \end{gathered}`

Final Answer

Hence , the result as binomial squared is

`(m+(1)/(6))^2`