Understanding Polynomial Division

What is the purpose of rewriting a polynomial function using a divisor in the form of x minus k?

• To eliminate the constant term

• To express the polynomial in terms of its quotient and remainder

• To identify the roots of the polynomial

• To simplify the polynomial

In synthetic division, what is the k value when using the divisor x minus 2?

• Zero

• Positive 2

• Negative 2

• Negative 1

What is the result of multiplying the divisor and quotient in synthetic division?

• A new polynomial

• The remainder

• The constant term

• The original polynomial

Why is it useful to rewrite a polynomial in the form of divisor times quotient plus remainder?

• To convert the polynomial into a linear equation

• To eliminate complex numbers

• To find the derivative of the polynomial

• To easily identify the remainder and understand the division relationship

What is the final step in verifying the original polynomial after synthetic division?

• Subtracting the remainder from the product of divisor and quotient

• Adding the remainder to the product of divisor and quotient

• Dividing the product of divisor and quotient by the remainder

• Multiplying the remainder by the quotient