Subtracting Polynomials and Combining Terms

The video tutorial explains how to subtract one polynomial from another. It begins by rewriting the expression with parentheses, then distributes the negative sign across the terms. The instructor combines like terms, including x-squared and x terms, and finally adds the constant terms to arrive at the solution. The process is broken down step-by-step to ensure understanding.

What is the first step in solving the problem of subtracting polynomials?

• Add the polynomials directly.

• Multiply the polynomials.

• Divide the polynomials.

• Rewrite the expression to set up the subtraction.

How do you handle the negative sign when subtracting polynomials?

• Multiply it by the entire expression.

• Ignore it.

• Add it to the first polynomial.

• Distribute it across the polynomial being subtracted.

What happens to the term -2x squared when the negative sign is distributed?

• It becomes positive 2x squared.

• It becomes zero.

• It remains -2x squared.

• It becomes -4x squared.

After distributing the negative sign, what is the next step?

• Add new terms.

• Divide the terms.

• Multiply the terms.

• Combine like terms.

What is the result of combining 6x squared and 2x squared?

• 12x squared

• 8x squared

• 4x squared

• 0x squared

How do you combine the terms 3x and -4x?

• Add them to get 7x.

• Subtract them to get -1x.

• Multiply them to get -12x squared.

• Divide them to get 0.75.

What is the final result of combining the constant terms -9 and 1?

• -10

• 0

• 1

• -8

What is the simplified form of the expression after all terms are combined?

• 2x squared - 4x + 1

• 8x squared + x - 8

• 8x squared - x - 8

• 6x squared + 3x - 9

What is the degree of the final polynomial expression?

• 1

• 2

• 0

• 3

Which term represents the constant in the final expression?

• 1

• 8x squared

• -8

• -x