Question

What value of c makes x2 − 24x + c a perfect square trinomial?

−144
−48
48
144

Answer 1

Answer:

Option D. 144

Step-by-step explanation:

The given trinomial is x² - 24x + c and we have to find the value of c for which the given trinomial is a perfect square trinomial.

Out of given options for the value of c = 144 the given trinomial becomes as

x² - 24x + 144 = (x - 12)² which is a perfect square.

Therefore for c = 144 trinomial is a perfect square.

Option d. 144 is the correct option.

Answer 2

The value of c that makes it a perfect square trinomials is 144

What are perfect square trinomials?

Perfect square trinomials are trinomials that can be expressed as the square of a binomial

The trinomial is given as:

x² - 24x + c

Take the coefficient of x

k = -24

Divide by 2

k/2 = -12

Square both sides

k/2 = 144

Equate to c

c = 144

Hence, the value of c that makes it a perfect square trinomials is 144

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