Learn how to factor a trinomial when it is raised to the fourth power

The video tutorial explains the process of factoring polynomials without a greatest common factor (GCF). It begins by introducing the concept and setting up an example problem involving Z squared. The instructor guides the students through identifying numbers that multiply to a given product and add to a specific sum. The method is then extended to polynomials with higher powers, specifically Z to the 4th power. The tutorial concludes with the presentation of the final factored form, emphasizing the importance of understanding the relationship between the numbers involved.

What is the first step in factoring the expression Z squared minus 15Z plus 56?

• Find two numbers that multiply to 56 and add to 15

• Find two numbers that multiply to 56 and add to -15

• Find two numbers that multiply to -56 and add to 15

• Find two numbers that multiply to -56 and add to -15

Which pair of numbers correctly factors the expression Z squared minus 15Z plus 56?

• 7 and 8

• -6 and -9

• -7 and -8

• 6 and 9

What is the factored form of Z squared minus 15Z plus 56?

• (Z - 7)(Z - 8)

• (Z + 7)(Z - 8)

• (Z - 7)(Z + 8)

• (Z + 7)(Z + 8)

When extending to Z to the fourth power, what are the factors of Z to the fourth minus 15Z squared plus 56?

• (Z squared + 7)(Z squared + 8)

• (Z squared - 7)(Z squared + 8)

• (Z squared - 7)(Z squared - 8)

• (Z squared + 7)(Z squared - 8)

In the expression Z to the fourth minus 15Z squared plus 56, what do the numbers -7 and -8 represent?

• The factors of the constant term

• The roots of the equation

• The coefficients of Z squared

• The numbers that add to -15Z squared