Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?
3/2
9/4
6
9

The value that must be added to the expression to make it a perfect square is (b) 9/4

The expression is given as:

Represent the coefficient of x with k.

So, we have:

Divide both sides of the equation by 2

Take the square of both sides

Evaluate the squares

Hence, the value that must be added to the expression to make it a perfect square is (b) 9/4

Read more about perfect squares at:

link

Step-by-step explanation:

Given

x² - 3x

To make the expression a perfect square

add ( half the coefficient of the x- term )²

x² + 2( - )x + , thus

x² - 3x +

= (x - )² ← a perfect square

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day