Regents Exam: Algebra I August 2016 (Problem 31 of 37)

The video tutorial explains how to find the zeros of a quadratic function algebraically using two distinct methods. The first method involves setting the function to zero, expanding the binomial, and factoring the quadratic expression. The second method involves isolating the binomial and using the square root property. Both methods yield the same solutions, demonstrating different approaches to solving quadratic equations.

What is the first step in finding the zeros of the function F(x) = (x - 3)^2 - 49 using the first method?

• Subtract 3 from both sides of the equation.

• Add 49 to both sides of the equation.

• Directly take the square root of both sides.

• Set the function equal to zero and expand the binomial.

Which two numbers are used to factor the quadratic expression in the first method?

• -5 and +5

• +6 and -6

• +10 and -4

• -10 and +4

What property is applied after factoring the quadratic expression to find the zeros?

• Zero product property

• Commutative property

• Associative property

• Distributive property

In the second method, what operation is performed after isolating the binomial?

• Taking the square root of both sides

• Expanding the binomial

• Factoring the quadratic expression

• Adding 3 to both sides

What are the final solutions for x using either method?

• x = -3 and x = 4

• x = 10 and x = -4

• x = 5 and x = -5

• x = 3 and x = 7