Mastering Polynomial Division Techniques

What is the result of dividing 2x + 4 by 2?

• x + 2

• x + 1

• x + 4

• 2x + 2

In algebraic long division, what is the first step when dividing 2x + 4 by 2?

• Divide the constant term

• Multiply the divisor

• Divide the highest degree term

• Subtract the remainder

When dividing x + 1 into x^2 + 3x + 6, what is the first term in the quotient?

• x

• x^2

• 3x

• 1

What is the remainder when x + 1 is divided into x^2 + 3x + 6?

• 6

• 4

• 0

• 2

What is the simplified form of x^2 + 5x + 4 divided by x + 4?

• x + 5

• x + 1

• x + 4

• x + 2

In the division of x^2 + 5x + 4 by x + 4, what is the first term in the quotient?

• 5x

• x^2

• 4

• x

What is the result of dividing 3x^3 - 2x^2 + 7x - 4 by x^2 + 1?

• 3x + 2 + (4x + 2)/(x^2 + 1)

• 3x - 2 + (4x + 2)/(x^2 + 1)

• 3x + 2 + (4x - 2)/(x^2 + 1)

• 3x - 2 + (4x - 2)/(x^2 + 1)

In the division of 3x^3 - 2x^2 + 7x - 4 by x^2 + 1, what is the first term in the quotient?

• 7x

• 3x

• 3x^2

• x^2

What is the remainder when 3x^3 - 2x^2 + 7x - 4 is divided by x^2 + 1?

• 4x - 2

• 3x - 2

• 7x - 4

• 2x - 4

What is the purpose of algebraic long division?

• To multiply polynomials

• To simplify polynomials

• To find the roots of polynomials

• To divide polynomials of any degree