Question

Which value must be added to the expression x2 â€"" 3x to make it a perfect-square trinomial? Three-halves Nine-fourths 6 9.

Answer 1

The value which must be added to the expression x² + 3x to make it a perfect-square trinomial is; Nine-fourths (9/4)

The expression x² + 3x can be transformed to a perfect square of the form;

• (x + 3/2)²

The square above can be expanded to become;

• x² + 3x/2 + 3x/2 + 9/4.

• = x² + 3x + 9/4

Consequently, the value which must be added to the expression x² + 3x to make it a perfect square is; 9/4 --Nine-fourths.

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