Rewriting Polynomial Expressions by Factoring

This video tutorial teaches how to rewrite polynomial expressions by factoring to simplify common factors. It covers using the greatest common factor, simplifying rational expressions, and factoring quadratic expressions. Advanced techniques for factoring, including handling negative exponents, are also discussed. The tutorial concludes with a final problem that reinforces the learned concepts.

What is the first step in factoring a polynomial expression using the greatest common factor?

• Identify the smallest coefficient

• Find the largest number that is a factor of all coefficients

• Add all coefficients together

• Multiply all coefficients by the same number

How can 25 divided by 6 be rewritten using common factors?

• As 6 times 4 divided by 6 plus 1 divided by 6

• As 5 times 5 divided by 6

• As 24 divided by 6 plus 2 divided by 6

• As 25 times 1 divided by 6

When rewriting the expression x squared plus 5x plus 6 divided by x plus 3, what is the common factor?

• 5x

• x squared

• x plus 3

• x plus 2

What is the result of simplifying x squared minus 11x plus 25 divided by x minus 8?

• x minus 8 plus 1 over x minus 3

• x plus 3 minus 1 over x minus 8

• x plus 8 minus 1 over x minus 3

• x minus 3 plus 1 over x minus 8

What does 2t minus 1 to the negative 1 power represent?

• Multiplying by 2t minus 1

• Dividing by 2t minus 1

• Adding 2t minus 1

• Subtracting 2t minus 1

How can the expression 8t cubed minus 4t squared plus 10t minus 16 be simplified?

• By factoring out 2t minus 1

• By subtracting 2t minus 1

• By dividing by 2t minus 1

• By adding 2t minus 1

What is the result of rewriting 2x squared plus 7x plus 5 using the factors of 2x plus 3 and x plus 2?

• x plus 2 plus 1 divided by 2x plus 3

• x plus 3 minus 1 divided by 2x plus 2

• x plus 2 minus 1 divided by 2x plus 3

• x plus 3 plus 1 divided by 2x plus 2