Factoring and Polynomial Operations

This video tutorial reviews key concepts for a chapter 8 test on polynomials. It covers the degree of polynomials, adding and subtracting polynomials by combining like terms, distributing negatives, and multiplying polynomials. The tutorial also delves into factoring polynomials using the greatest common factor (GCF) and the FOIL method, addressing special cases like perfect squares. Advanced factoring techniques, such as factoring by grouping, are also discussed.

What is the degree of a polynomial with the highest exponent of 4?

• 2

• 3

• 4

• 5

When adding polynomials, what should you do with the exponents?

• Add them

• Subtract them

• Multiply them

• Keep them the same

What is the result of combining 5 apples and -7 apples?

• 12 apples

• 2 apples

• -12 apples

• -2 apples

How do you handle a negative sign when distributing it across terms?

• Ignore it

• Add it to each term

• Multiply it with each term

• Subtract it from each term

What is the result of multiplying 2x by 3x?

• 5x^2

• 6x^2

• 6x

• 5x

What is the GCF of 48 and 30?

• 12

• 8

• 10

• 6

What is the first step in factoring by pulling out the GCF?

• Identify the smallest exponent

• Divide the terms

• Multiply the terms

• Add the terms

What does FOIL stand for in polynomial multiplication?

• Factor, Outer, Inner, List

• First, Order, Integrate, Last

• Factor, Order, Integrate, List

• First, Outer, Inner, Last

What is the result of using FOIL on (x + 5)(x + 5)?

• x^2 + 10x

• x^2 + 25

• x^2 + 5x + 5

• x^2 + 10x + 25

How do you factor a polynomial with no GCF?

• Use grouping

• Use trial and error

• Use FOIL

• Use special cases