Learn how to find all the zeros and graph a polynomial using synthetic division

What does it mean if a polynomial has a factor?

• The factor is a constant term.

• The factor is a multiple of the polynomial.

• The factor is unrelated to the polynomial.

• The factor divides the polynomial with a remainder of zero.

What is the purpose of using a factor tree in mathematics?

• To graph linear equations.

• To find the prime factorization of a number.

• To solve quadratic equations.

• To calculate the derivative of a function.

In synthetic division, what is the first step after writing down the coefficients?

• Subtract the divisor from each coefficient.

• Bring down the first coefficient as a freebie.

• Multiply all coefficients by the divisor.

• Add all coefficients together.

What is the result of multiplying two factors of a polynomial?

• A new polynomial with higher degree.

• A zero polynomial.

• A constant value.

• The original polynomial.

How do you find the zeros of a polynomial from its factors?

• Multiply all factors together.

• Set each factor equal to zero and solve.

• Divide the polynomial by its factors.

• Add all factors together.

What does the multiplicity of a zero indicate about the graph of a polynomial?

• How the graph behaves at the zero.

• The degree of the polynomial.

• The constant term of the polynomial.

• The leading coefficient of the polynomial.

What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?

• Rises left, falls right.

• Falls left, falls right.

• Rises left, rises right.

• Falls left, rises right.