Question

Which of the following is NOT a perfect square trinomial?

Ob
d
x² - 16x + 64
x² - 10x + 20
x² - 28x + 196
x²-24x + 144

Answer 1

A perfect square trinomial can be factored into the square of a binomial. By checking for certain patterns, we can determine which is NOT a perfect square trinomial.

Step-by-step explanation:

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. To determine if a trinomial is a perfect square, we need to check if the first and last terms are perfect squares and if the middle term is twice the product of the square roots of the first and last terms.

Let's go through the given trinomials:

1. x² - 16x + 64: This can be factored into (x - 8)², so it is a perfect square trinomial.
2. x² - 10x + 20: This cannot be factored into a perfect square, so it is NOT a perfect square trinomial.
3. x² - 28x + 196: This can be factored into (x - 14)², so it is a perfect square trinomial.
4. x²-24x + 144: This can be factored into (x - 12)², so it is a perfect square trinomial.

Therefore, the trinomial that is NOT a perfect square is x² - 10x + 20.

Learn more about Perfect square trinomials