Learn how to factor a trinomial using a rectangle

The video tutorial explains the process of factoring quadratic expressions to find side lengths. It begins with an introduction to factoring and the importance of understanding factors that multiply to a given number. The tutorial then focuses on finding specific factors of -35, emphasizing the role of negative numbers. Finally, it applies factorization to solve for y, demonstrating how to derive the factors y - 7 and y + 5, and explains the reasoning behind these calculations.

What is the main goal when factoring in this context?

• To find two numbers that multiply to a given area

• To divide a number into equal parts

• To find two numbers that add up to a given number

• To find the square root of a number

Which of the following pairs of numbers multiply to -35?

• 5 and 7

• -5 and -7

• 7 and -5

• -7 and 5

Why must one of the factors of -35 be negative?

• Because both factors are negative

• Because the product is positive

• Because the sum is positive

• Because the product is negative

What are the factors of the expression y^2 - 2y - 35?

• y - 5 and y - 7

• y + 5 and y + 7

• y - 7 and y + 5

• y + 7 and y - 5

When A is equal to 1, what are the two factors always going to be?

• Y and the difference of the numbers

• Y and the two numbers

• Y and the product of the numbers

• Y and the sum of the numbers