Subtracting and Adding Polynomials

This video tutorial covers the addition and subtraction of polynomials by combining like terms. It explains the process of rewriting subtraction as addition by switching signs and emphasizes the importance of standard form. The tutorial includes examples of subtracting polynomials, finding missing binomials, and rearranging terms to standard form. It also highlights the method of adding polynomials vertically for clarity.

What is the first step in subtracting polynomials?

• Add the coefficients of like terms.

• Combine like terms directly.

• Rewrite subtraction as addition of the opposite.

• Multiply the polynomials.

What is the importance of writing polynomials in standard form?

• It allows for easier division.

• It makes multiplication easier.

• It simplifies factoring.

• It ensures correct addition and subtraction of like terms.

When adding polynomials vertically, what should you ensure first?

• The exponents are all even numbers.

• The coefficients are all positive.

• The polynomials have the same number of terms.

• The polynomials are in standard form.

What is the result of adding 5x^2 + x^2 and 2x - 4x?

• 5x^2 + 2x

• 6x^2 - 2x

• 5x^2 - 2x

• 6x^2 + 2x

If the sum of two binomials is -10x + 3 and one binomial is 2x - 5, what is the other binomial?

• 12x - 8

• -8x + 8

• -12x + 8

• -12x - 8

What happens to the signs of a polynomial when finding its opposite?

• All signs remain the same.

• All positive signs become negative and vice versa.

• Only the first term's sign changes.

• Only the constant term's sign changes.

How do you find the opposite of the expression 6x^2 - 2x + 1?

• -6x^2 - 2x - 1

• 6x^2 - 2x + 1

• 6x^2 + 2x - 1

• -6x^2 + 2x - 1

How do you simplify the expression 5x^2 - 7x - 2 - (7x^2 - 2x + 1)?

• -2x^2 + 5x + 1

• 2x^2 - 5x - 1

• -2x^2 - 5x - 1

• 2x^2 + 5x + 1

What is the first step when subtracting polynomials that are not in standard form?

• Ignore the order of terms.

• Multiply the polynomials.

• Rearrange the terms to standard form.

• Add them directly.

What is the result of subtracting 3x^2 + 6x - 4 from 2x^2 - 5x + 7?

• -2x^2 + 11x - 11

• -2x^2 - 11x + 11

• 2x^2 + 11x - 11

• 2x^2 - 11x + 11