Adding and Subtracting Polynomials Strategies

What is a polynomial?

• An equation with only one variable.

• A number without any variables.

• An algebraic expression with real number coefficients and positive whole number exponents.

• A mathematical expression with only addition and subtraction.

What is the leading coefficient in a polynomial?

• The coefficient of the term with the lowest power.

• The coefficient of the term with the highest power.

• The first term in the polynomial.

• The constant term in the polynomial.

How do you align terms when adding polynomials vertically?

• By aligning terms with the same constants.

• By aligning terms with the same coefficients.

• By aligning terms in alphabetical order.

• By aligning like terms with the same powers.

What is the sum of 2x^3 + 4x^2 and 3x^2 + 4x + 1?

• 2x^3 + 7x^2 + 4x + 1

• 5x^3 + 8x^2 + 4x + 1

• 2x^3 + 4x^2 + 4x + 1

• 2x^3 + 7x^2 + 4x

When adding polynomials horizontally, what should you look for?

• Terms in alphabetical order.

• Terms with the same coefficients.

• Like terms with the same variables and powers.

• Terms with the same constants.

What is the result of adding 2x^3 + 4x^2 and 3x^2 + 4x + 1 horizontally?

• 2x^3 + 7x^2 + 4x + 1

• 5x^3 + 8x^2 + 4x + 1

• 2x^3 + 4x^2 + 4x + 1

• 2x^3 + 7x^2 + 4x

How do you handle negative terms when subtracting polynomials vertically?

• Ignore the negative signs.

• Subtract each term individually, treating negative signs carefully.

• Align terms in alphabetical order.

• Add the terms instead of subtracting.

What is the result of subtracting 4x^2 - 2x + 1 from 2x^2 + 3x - 7 vertically?

• 2x^2 - 1x - 6

• -2x^2 + 1x - 6

• 2x^2 + 5x - 8

• -2x^2 + 5x - 8

When subtracting polynomials horizontally, what should you do with the negative sign?

• Subtract it from the constant term.

• Add it to the first term only.

• Ignore it.

• Distribute it through each term inside the parentheses.

What is the result of subtracting 4x^2 - 2x + 1 from 2x^2 + 3x - 7 horizontally?

• -2x^2 + 1x - 6

• 2x^2 - 1x - 6

• 2x^2 + 5x - 8

• -2x^2 + 5x - 8