Factoring out the GCF but forgetting to factor further

The video tutorial explains how to factor a polynomial by identifying and using the greatest common factor (GCF). It begins with an introduction to the problem, followed by a detailed process of finding the GCF for both numerical coefficients and variables. The tutorial then demonstrates how to factor the polynomial using the GCF and rearrange the terms to achieve the final factored form. The video concludes by confirming that further factoring is not possible.

What is the greatest common factor (GCF) of the numbers 15, 3, and 12?

• 1

• 3

• 5

• 15

Which variable and its power is common in all terms of the polynomial 15X^2 * y, 3Xy^2, and 12XY?

• Y^2

• Y

• X^2

• X

After factoring out the GCF, what is the coefficient of the first term in the simplified expression?

• 5

• 3

• 1

• 4

What is the final factored form of the polynomial after rearranging the terms?

• y^2 - 5X + 4

• 5X - y^2 + 4

• 4 + 5X - y^2

• y^2 + 5X - 4

Why can't the trinomial y^2 - 5X + 4 be factored further?

• There are no terms that multiply to give the first and last terms with the middle term.

• The coefficients are prime numbers.

• It is already in its simplest form.

• It has no common factors.