# Polynomial division questions and answers

Recent questions in Polynomial division

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

misyjny76 2022-09-25

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

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. $\left({x}^{3}-{x}^{2}-10x-8\right)÷\left(x+2\right)$

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 $Q\left(x\right)={x}^{4}-3{x}^{3}+2{x}^{2}+x-3$.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. $\left(2{x}^{3}-3{x}^{2}+x\right)÷\left(x-1\right)$

Hagman7v 2022-09-22

### You can use polynomial division to find that$\frac{{x}^{3}-7x+6}{x-2}={x}^{2}+2x-3$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.

kjukks1234531 2022-09-18

### Explain how you can check polynomial division.

Dymnembalmese2n 2022-09-18

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

blogswput 2022-09-14

### Let $P\left(x\right)=2{x}^{3}-4{x}^{2}+2x-1$.Evaluate P(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. P(-4)

cyrilicesj 2022-09-14

### Geometry The expression $\left(1/3\right)\left({x}^{3}+5{x}^{2}+8x+4\right)$ represents the volume of a square pyramid. The expression x + 1 represents the height of the pyramid. What expression represents the side length of the base? (Hint: The formula for the volume of a pyramid is V = (1/3)Bh.) How can polynomial division help you solve this problem?

Jimena Hatfield 2022-09-14

### Use synthetic division to perform the division.$\frac{3{x}^{3}-25{x}^{2}+10x-16}{x-8}$

Marley Blanchard 2022-09-14

### Rearrange the numbers in this division fact to form another division fact and two multiplication facts. $36÷4=9$

blogswput 2022-09-14

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

Audrey Mckee 2022-09-13

### Use the Remainder Theorem to find the remainder for each division. State whether the binomial is a factor of the polynomial. $\left(2{x}^{3}-5{x}^{2}+7x+1\right)÷\left(x-5\right)$

allbleachix 2022-09-12

### You can prove that a statement isn't true by finding a single example that contradicts the statement, which is called a counterexample. Show that the set of polynomials is not closed under division by finding a counterexample of division of a polynomial by a polynomial that does not result in a polynomial.

kybudmanqm 2022-09-12

### 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. ${x}^{3}-5/{x}^{2}-1$

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.