Unlock the Power of Polynomial Division

High School
Algebra
Algebra II
Polynomial division

Use synthetic division to divide the polynomial.
$(5 x^{2} - 17 x - 12) \div (x - 4)$

Taylor Church 2022-10-08

True or False. You cannot use synthetic division to divide a polynomial by $x^{2} - 1$ .

pramrok62 2022-10-02

Choose the correct term from the list to complete each sentence. complex numbers, complex roots, discriminant, extraneous, Factor Theorem, Integral Root Theorem, lower bound, polynomial function, quadratic equation, Quadratic Formula, radical equation, synthetic division, zero. A ______ is a special polynomial equation with a degree of two.

adarascarlet80 2022-10-01

Divide polynomial by x + 2 using synthetic division.
$2 x^{3} + 5 x^{2} - x - 5$

zaiskaladu 2022-09-26

Describe when to use synthetic division and when to use the Quadratic Formula to determine the linear factors of a polynomial.

Valentina Holland 2022-09-25

When setting up a partial fraction decomposition, if the 4. In what situation should long division be used before denominator of a fraction is a quadratic polynomial attempting to decompose a rational expression into irreducible over the integers, then the numerator should be (constant/linear). That is, should the numerator be set up as A or Ax + B?

misyjny76 2022-09-25

Evaluate using long division first to write f(x) as the sum of a polynomial and a proper rational function.
$\int \frac{(x^{2} + 2) d x}{x + 3}$

David Ali 2022-09-24

Write a division problem involving polynomials that you would solve by using long division. Explain your answer.

wijii4 2022-09-24

Use the polynomial division algorithm to write the rational function in the form Q(x) + R(x)/D(x), where the degree of R is less than the degree of D. $x^{2} / x^{2} - 4$

Kolby Castillo 2022-09-23

Use the Remainder Theorem to find the remainder for each division. State whether the binomial is a factor of the polynomial. $(x^{3} - x^{2} - 10 x - 8) \div (x + 2)$

Lustyku8 2022-09-23

Complete the steps to solve the division problem using long division. $x + 1 \sqrt{2 x^{2} + x - 1}$

furajat4h 2022-09-23

If you are using the Factor Theorem and synthetic division to find real zeros of a given polynomial, how can Descartes' Rule of Signs increase the efficiency of the process?

HypeMyday3m 2022-09-23

Let $Q (x) = x^{4} - 3 x^{3} + 2 x^{2} + x - 3$ .
Evaluate Q(x) by substituting the given value of x into the polynomial and simplifying. Then evaluate the polynomial by using the remainder theorem and synthetic division. Q(-3)

wijii4 2022-09-22

Use the Remainder Theorem to find the remainder for each division. State whether the binomial is a factor of the polynomial. $(2 x^{3} - 3 x^{2} + x) \div (x - 1)$

Hagman7v 2022-09-22

You can use polynomial division to find that
$\frac{x^{3} - 7 x + 6}{x - 2} = x^{2} + 2 x - 3$
Is this equation true for all values of x? Explain.

Seamus Mcknight 2022-09-19

Describe how synthetic division can be used to factor a polynomial.

Dymnembalmese2n 2022-09-18

How can the Division Algorithm be used to check the quotient and remainder in a long division problem?

kjukks1234531 2022-09-18

Explain how you can check polynomial division.

Gavyn Whitehead 2022-09-14

For division statement given, write two division statements that have the same quotient. $10.4 \div 2.6 = 4$

blogswput 2022-09-14

Use synthetic division to perform the division. Divide $x - 4 x^{2} + x^{3} + 6$ by x+1.

It’s one of the most complex questions in Algebra that you will use when an algorithm is used to divide a polynomial by another one of the same or lower degree. For example, when you’re creating roller coasters, these equations and calculations are used to find the answers. Taking a look through our website, you’ll find other polynomial division examples that will be presented both as formulas and explanations. It will help you approach your answers as you deal with polynomial division questions. It may still feel confusing to you unless you see step-by-step polynomial division problems that are explained.

Algebra II

Master Polynomial Division with Step-by-Step Examples