Understanding Common Binomials and Factoring

The video tutorial explains how to find a common binomial between two expressions: M squared minus 4M minus 45 and 6M squared minus 150. The process involves factoring each expression separately. The first expression is factored into (M - 9)(M + 5), while the second expression is simplified by taking out a common factor of 6, resulting in (M - 5)(M + 5). The common binomial identified is (M + 5). The tutorial emphasizes understanding the difference of squares and the importance of recognizing common factors.

What is the main goal when comparing the two expressions in the video?

• To find the sum of the expressions

• To identify a common binomial

• To multiply the expressions

• To divide the expressions

What is the value of 'a' in the first expression?

• 0

• 2

• 3

• 1

Which two numbers multiply to -45 and add to -4 in the first expression?

• -6 and 7

• 6 and -7

• 9 and -5

• -9 and 5

What factor is taken out from the second expression to simplify it?

• 6

• 3

• 5

• 9

What mathematical concept is used to simplify the second expression?

• Completing the square

• Difference of squares

• Quadratic formula

• Sum of cubes

What is the simplified form of the second expression after factoring?

• 6(M - 3)(M + 3)

• 6(M - 4)(M + 4)

• 6(M - 9)(M + 9)

• 6(M - 5)(M + 5)

Which binomial is common to both expressions?

• M - 9

• M + 5

• M + 9

• M - 5

What should you type on Khan Academy to submit your answer?

• X - 5

• X + 5

• X + 9

• X - 9

What is the purpose of factoring expressions in this context?

• To find common factors

• To simplify calculations

• To identify common binomials

• To solve equations

What is the final step after finding the common binomial?

• Divide the expressions

• Multiply the expressions

• Add the expressions

• Input the answer on Khan Academy