A perfect square trinomial is a trinomial that can be factored into the square of a binomial. In other words, it can be written in the form (ax+b)^2.

The general form of a perfect square trinomial is x^2 + 2ax + a^2.

Given the trinomial x^2 - 12x + c, we can see that the coefficient of x is -12. This is the 2a term in the general form, so a = -12/2 = -6.

The constant term in a perfect square trinomial is a^2. So, we square -6 to get 36.

Therefore, the value of c that makes x^2 - 12x + c a perfect square trinomial is 36.

Question

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. In other words, it can be written in the form (ax+b)^2.

The general form of a perfect square trinomial is x^2 + 2ax + a^2.

Given the trinomial x^2 - 12x + c, we can see that the coefficient of x is -12. This is the 2a term in the general form, so a = -12/2 = -6.

The constant term in a perfect square trinomial is a^2. So, we square -6 to get 36.

Therefore, the value of c that makes x^2 - 12x + c a perfect square trinomial is 36.

Knowee AI · Accepted Answer

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. In other words, it can be written in the form (ax+b)^2.

The general form of a perfect square trinomial is x^2 + 2ax + a^2.

Given the trinomial x^2 - 12x + c, we can see that the coefficient of x is -12. This is the 2a term in the general form, so a = -12/2 = -6.

The constant term in a perfect square trinomial is a^2. So, we square -6 to get 36.

Therefore, the value of c that makes x^2 - 12x + c a perfect square trinomial is 36.

Which of the following values of c will make the expression x2 - 12x + c a perfect square trinomial?