Factoring a third degree polynomial with four terms by grouping

The video tutorial explains how to factor polynomials with four terms using the method of grouping. It begins by introducing the concept and rationale behind factoring by grouping. The instructor then demonstrates how to group the first two and last two terms, factor out common elements, and finally combine the results to achieve a fully factored polynomial. The tutorial emphasizes recognizing shared factors and systematically applying the technique to simplify expressions.

What is the first step when you encounter a polynomial with four terms?

• Use the quadratic formula.

• Look for a common monomial factor.

• Apply the difference of squares.

• Try to factor by grouping.

When grouping terms in a polynomial, what should you look for in each group?

• The smallest coefficient.

• A common factor.

• The largest constant term.

• The highest power of x.

In the expression 4x^3 - 20x^2, what can be factored out?

• 4x^2

• x^3

• 20x

• 5x

What is the common factor in the terms 7 and -35?

• 7

• 5

• x

• 35

After factoring out common terms, what is the next step in the process?

• Simplify the expression.

• Factor out the common binomial.

• Rearrange the polynomial.

• Combine like terms.