Factoring Polynomials and Values of g

The video tutorial explains how to factor the polynomial expression 36y^3 - 100y by first factoring out 4y and then recognizing the remaining expression as a difference of squares. The process involves breaking down the expression into simpler components and verifying the correct values for M and G. The tutorial concludes that neither Sally nor Brandon's values for G are correct, as G equals 5.

What is the polynomial expression discussed in the video?

• 36y^3 + 100y

• 36y^3 - 100y

• 36y^2 + 100y

• 36y^2 - 100y

What common factor is initially factored out from the polynomial?

• 25

• 9y

• 5y

• 4y

After factoring out 4y, what is the expression left inside the parentheses?

• 3y^2 + 25

• 3y^2 - 25

• 9y^2 - 25

• 9y^2 + 25

What is the formula for factoring a difference of squares?

• (a - b)(a - b)

• (a - b)(a + b)

• (a + b)(a + b)

• (a + b)(a - b)

What are the values of 'a' and 'b' in the difference of squares for this problem?

• a = 3y, b = 5

• a = 5, b = 3y

• a = 3, b = 5y

• a = 5y, b = 3

What is the final factored form of the polynomial?

• 4y(3y + 5)(3y - 5)

• 4y(3y - 5)(3y - 5)

• 4y(3y - 5)(3y + 5)

• 4y(3y + 5)(3y + 5)

What value did Sally suggest for 'g'?

• 10

• 3

• 5

• 7

What value did Brandon suggest for 'g'?

• 3

• 5

• 10

• 7

What is the correct value of 'g' according to the solution?

• 10

• 3

• 5

• 7

Who was correct in their guess about the value of 'g'?

• Brandon

• Sally

• Both

• Neither