The correct answer is c. Both terms must be perfect squares.

Here's why:

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. This means it can be written in the form (ax+b)^2 or (ax-b)^2.

When expanded, these forms become a^2x^2 + 2abx + b^2 and a^2x^2 - 2abx + b^2 respectively.

From these forms, we can see that the quadratic term (a^2x^2) and the constant term (b^2) are both perfect squares.

Therefore, for a trinomial to be a perfect square trinomial, both the quadratic term and the constant term must be perfect squares.

Question

The correct answer is c. Both terms must be perfect squares.

Here's why:

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. This means it can be written in the form (ax+b)^2 or (ax-b)^2.

When expanded, these forms become a^2x^2 + 2abx + b^2 and a^2x^2 - 2abx + b^2 respectively.

From these forms, we can see that the quadratic term (a^2x^2) and the constant term (b^2) are both perfect squares.

Therefore, for a trinomial to be a perfect square trinomial, both the quadratic term and the constant term must be perfect squares.

Knowee AI · Accepted Answer

The correct answer is c. Both terms must be perfect squares.

Here's why:

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. This means it can be written in the form (ax+b)^2 or (ax-b)^2.

When expanded, these forms become a^2x^2 + 2abx + b^2 and a^2x^2 - 2abx + b^2 respectively.

From these forms, we can see that the quadratic term (a^2x^2) and the constant term (b^2) are both perfect squares.

Therefore, for a trinomial to be a perfect square trinomial, both the quadratic term and the constant term must be perfect squares.

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