Factors Roots Polynomial Division

Which of the following is the equation of the graph?

Select the correct factored form of a polynomial with roots: -1, 2, and 5.

• (3v + 5)(v - 1)

• (3v - 5)(v + 1)

• (3v - 5)(v - 1)

• (3v + 5)(v + 1)

• x²-7x+5

• x-8

• x²-6x+8

• x+9

The Remainder Theorem states that when a polynomial f(x) is divided by (x-c), the remainder is:

• F'(C)

• C^2

• f(c)

• Zero

The Rational Root Theorem helps to find:

• All real roots of a polynomial

• All rational roots by using the ratio of the constant term and leading coefficient

• Imaginary roots of po;ynomials

• All factors of a polynomial

Substitute and find the zeros of the polynomial function f(x)=(x-3)(x+5)

• 3 and -5

• -3 and 5

• 3 and 5

• -3 and -5

Which of the following best describes long division in algebra?

• A method used to divide numbers without remainders

• A technique used to divide polynomials

• A process used to simplify expressions without variables

• A rule used to factor quadratic equations

What is the purpose of synthetic division?

• To divide two polynomials quickly, especially when the divisor is linear

• To find the square root of a polynomial expressions

• To simplify polynomials into factored form

• To multiply two polynomials