Factoring a trinomial to a higher order

The video tutorial explains how to factor a polynomial expression, starting with identifying common terms and factoring them out. It then delves into the quadratic form, explaining the roles of coefficients and constants. The process of finding factors that multiply to a specific product and add to a specific sum is detailed. Finally, the tutorial concludes with the complete factorization of the expression, ensuring all steps are clear and logical.

What is the highest power of 'A' that can be factored out from the expression 8A^6 + 12A^4 + A^2?

• A^2

• A^4

• A^6

• A

In a quadratic expression, what does the term 'A' represent?

• The variable

• The coefficient of the middle term

• The constant term

• The leading coefficient

What is the product of the leading coefficient and the constant term in the expression discussed?

• 12

• 24

• 36

• 48

Which pair of factors of 36 adds up to 12?

• 9 and 4

• 18 and 2

• 6 and 6

• 12 and 3

When the leading coefficient is not 1, what must be adjusted in the factors?

• The variable

• The middle term

• The factors themselves

• The constant term

What is the result of multiplying 6A^2 by 6A^2?

• 36A^4

• 12A^2

• 6A^4

• 36A^2

What is the final step in confirming the factorization of the trinomial?

• Adding the factors

• Multiplying the factors

• Subtracting the factors

• Dividing the factors