What term should be added to y2-14y to make it a perfect square

trinomial?

49

Step-by-step explanation:

Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.

To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.

- The coefficient of y is - 14.

multiplying the coefficient of y by 1/2 will give - 14/2 = - 7

- squaring - 7 will result in (-7) ²

= 49

The constant that will be added to the binomial to make it a perfect square trinomial is 49