Perfect Square Trinomials

Perfect Square Trinomials

Assessment

Flashcard

Mathematics

KG - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It has the form (a + b)² = a² + 2ab + b².

2.

FLASHCARD QUESTION

Front

How can you identify a perfect square trinomial?

Back

A trinomial is a perfect square if the first and last terms are perfect squares and the middle term is twice the product of the square roots of the first and last terms.

3.

FLASHCARD QUESTION

Front

What is the standard form of a perfect square trinomial?

Back

The standard form of a perfect square trinomial is a² + 2ab + b², which factors to (a + b)².

4.

FLASHCARD QUESTION

Front

Is x² + 18x + 9 a perfect square trinomial?

Back

No, because the middle term (18) is not equal to 2 times the product of the square roots of the first (1) and last (9) terms.

5.

FLASHCARD QUESTION

Front

What is the factored form of x² + 24x + 144?

Back

(x + 12)².

6.

FLASHCARD QUESTION

Front

What is the result of expanding (x + 6)²?

Back

x² + 12x + 36.

7.

FLASHCARD QUESTION

Front

Is x² + 10x + 100 a perfect square trinomial?

Back

No, because the middle term (10) is not equal to 2 times the product of the square roots of the first (1) and last (100) terms.

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