Subtracting Polynomials Methods and Properties

The video tutorial explains how to subtract polynomials using two methods: the vertical method and the distributive property method. The vertical method involves aligning polynomials vertically and subtracting them, while the distributive property method involves converting subtraction into addition by distributing the negative sign. Both methods ultimately lead to the same result, demonstrating their effectiveness in solving polynomial subtraction problems.

What are the two methods introduced for subtracting polynomials?

• Vertical and Distributive Property

• Vertical and Horizontal

• Addition and Subtraction

• Horizontal and Distributive Property

In the vertical method, what is the first step?

• Divide the polynomials

• Multiply the polynomials

• Add the polynomials

• Write one polynomial under the other

Why might students make mistakes using the vertical method?

• They forget to divide the polynomials

• They forget to subtract the entire bottom polynomial from the top

• They forget to multiply the polynomials

• They forget to add the polynomials

What is the result of subtracting x squared from x squared in the vertical method?

• x squared

• 1

• 2x squared

• 0

What is the result of negative 5x minus negative 5x?

• Negative 10x

• Negative 5x

• 0x

• 5x

What is the final answer in the vertical method example provided?

• Negative 3

• 0

• 5

• Negative 8

What property is applied in the second method for subtracting polynomials?

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

How can subtraction problems be rewritten according to the distributive property method?

• As subtraction problems

• As addition problems

• As division problems

• As multiplication problems

What is the result of applying the distributive property to x squared minus 5x minus 3 plus negative x squared plus 5x minus 5?

• 0x squared and negative 8

• x squared and 5x

• Negative x squared and 5x

• x squared and negative 8

What is the final answer in the distributive property method example provided?

• Negative 3

• 0

• Negative 8

• 5