Perfect Square Trinomials and Factoring

The video tutorial explains how to use the method of completing the square to find the value of c that makes the expression x squared minus 44x plus c a perfect square trinomial. It begins by introducing the concept of a perfect square trinomial and the pattern of x plus a squared. The tutorial then demonstrates how to match this pattern to solve for the variable a and subsequently calculate c. Finally, it shows how to rewrite the expression as a perfect square trinomial and factor it as the square of a binomial.

What is the purpose of completing the square in the given expression?

• To simplify the expression

• To make the expression a perfect square trinomial

• To find the value of x

• To solve for c directly

Which expression represents the expansion of (x + a)^2?

• x^2 + 2ax + a^2

• x^2 + a^2

• x^2 + ax + a

• x^2 + 2a + a^2

If 2a equals -44, what is the value of 'a'?

• -22

• -44

• 22

• 44

How do you calculate the value of c in the expression?

• By subtracting a from 44

• By squaring the value of a

• By multiplying a by 2

• By adding 44 to a

What is the value of c when a is -22?

• 44

• 484

• 0

• 22

How can the expression x^2 - 44x + 484 be rewritten?

• (x - 44)^2

• (x + 44)^2

• (x + 22)^2

• (x - 22)^2

What is the significance of rewriting the expression as a perfect square trinomial?

• It makes the expression more complex

• It changes the roots of the equation

• It simplifies solving quadratic equations

• It eliminates the need for factoring

Which of the following is a perfect square trinomial?

• x^2 + 2x + 4

• x^2 + 2x + 1

• x^2 + 4x + 2

• x^2 + 4x + 4

What is the result of factoring x^2 - 44x + 484?

• (x + 44)(x + 44)

• (x - 44)(x - 44)

• (x + 22)(x + 22)

• (x - 22)(x - 22)

Why is it important to express a trinomial as the square of a binomial?

• To simplify the expression for easier computation

• To change the variable in the expression

• To increase the degree of the polynomial

• To make the expression more complex