Regents Exam: Algebra I August 2016 (Problem 8 of 37)

The video tutorial explains how to determine which expression is equivalent to 36X^2 - 100 by factoring. It begins by discussing the use of the distributive property and then moves on to finding the greatest common factor (GCF) of the terms. The tutorial further explains how to factor the expression as a difference of squares, ultimately leading to the correct factored form that matches one of the given options.

What is the initial approach suggested to find the equivalent expression for 36X^2 - 100?

• Using synthetic division

• Graphing the polynomial

• Using the quadratic formula

• Applying the distributive property

What is the greatest common factor of the coefficients 36 and 100?

• 10

• 4

• 6

• 2

After factoring out the greatest common factor, what expression is obtained?

• 4(9X^2 - 25)

• 9(4X^2 - 25)

• 36(X^2 - 25)

• 100(9X^2 - 1)

What special factoring technique is used to factor 9X^2 - 25?

• Sum of cubes

• Difference of squares

• Perfect square trinomial

• Quadratic formula

Which option is the equivalent expression for 36X^2 - 100 after complete factoring?

• 4(3X + 5)(3X - 5)

• 4(3X - 5)(3X + 5)

• 9(2X + 5)(2X - 5)

• 36(X + 5)(X - 5)