Which Is a Perfect Square Trinomial?

A perfect square trinomial is a trinomial that can be written as the square of a binomial. Recall that when a binomial is squared, the result is the square of the first term added to twice the product of the two terms and the square of the last term.

What is the example of perfect square trinomial?

A perfect square trinomial is an algebraic expression that is of the form ax2 + bx + c, which has three terms. It is obtained by the multiplication of a binomial with itself. For example, x2 + 6x + 9 is a perfect square polynomial obtained by multiplying the binomial (x + 3) by itself.

How do you identify a perfect square trinomial?

Multiply the roots of the first and third terms together. Compare to the middle terms with the result in step two. If the first and last terms are perfect squares, and the middle term's coefficient is twice the product of the square roots of the first and last terms, then the expression is a perfect square trinomial.

James H. Sterling

James H. Sterling

Environmental Science & Climate Journalist

James Sterling reports on renewable energy developments, climate policy, ecological conservation, and green tech innovations around the globe.