Regents Exam: Algebra I August 2016 (Problem 12 of 37)

The video tutorial explains how to find the product of a binomial and a trinomial using the distributive property. It begins by introducing the problem and the need to multiply the given polynomials. The tutorial then details the process of distributing each term of the binomial across the trinomial, followed by simplifying the resulting polynomial by combining like terms. Finally, the correct polynomial is identified from the given options.

What is the main goal of the problem discussed in the video?

• To solve a quadratic equation

• To find the sum of two polynomials

• To determine the equivalent polynomial of a product

• To divide a polynomial by a binomial

Which mathematical property is used to multiply the binomial and trinomial?

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

What is the result of multiplying the first term of the binomial with the trinomial?

• 8x squared minus 10x plus 12

• 8x cubed minus 10x squared plus 12x

• 8x cubed plus 10x squared minus 12x

• 8x squared plus 10x minus 12

After distributing both terms of the binomial, what is the next step?

• Divide the polynomial by a constant

• Add a new term to the polynomial

• Subtract a term from the polynomial

• Simplify by collecting like terms

Which option correctly matches the simplified polynomial?

• Option 1

• Option 2

• Option 4

• Option 3