Factoring Perfect Square Trinomials Explained

What is the result of squaring a binomial?

• A monomial

• A trinomial

• A polynomial

• A binomial

What does the middle term in a squared binomial represent when factoring?

• The square root of the first term

• The sum of the squares of the terms

• The product of the terms doubled

• The difference of the squares

What pattern identifies a perfect square trinomial?

• a^2 + 2ab + b^2

• a^2 + ab + b^2

• a^2 - 2ab + b^2

• a^2 - ab + b^2

What does the term 'foiling' refer to in algebra?

• Finding the outer and inner terms of an expression

• The process of multiplying two binomials

• Dividing a trinomial into a binomial

• Subtracting the highest degree terms

Which of the following is a perfect square?

• x^2 + x + 1

• x^2 - 2x + 1

• x^2 - x + 1

• x^2 + 2x + 2

How can you verify a perfect square trinomial?

• By dividing each term by 2

• By subtracting the middle term

• By rewriting and foiling the binomial

• By taking the square root of the trinomial

In the expression 49x^2 + 14x + 1, what is the factored form?

• (7x + 1)^2

• (7x - 1)^2

• (x + 7)^2

• (x - 7)^2

What is the factored form of 36x^2 + 60x + 25?

• (5x - 6)^2

• (5x + 6)^2

• (6x - 5)^2

• (6x + 5)^2

What is the first step in factoring a trinomial?

• Identifying the square root of the first term

• Checking for a greatest common factor

• Doubling the middle term

• Splitting the middle term

For the trinomial 4y^2 - 36y + 81, what is the correct factored form?

• (y + 9)^2

• (2y - 9)^2

• (2y + 9)^2

• (y - 9)^2