Get Expert Help with Polynomials: Examples, Word Problems, and Practice Questions

How can you find the GCF of two polynomials?

gurgtih91 2022-12-16

What does the term "linear polynomial" mean?

Adriel Vance 2022-12-05

Find a polynomial f(x) of degree 4 that has the following zeros: -1, 4, 0, -5. Answer in factored form.

vegetatzz8s 2022-12-04

Isiah determined that $5 a^{2}$ is the $GCF$ of the polynomial $a^{3} - 25 a^{2} b^{5} - 35 b^{4}$ . Is it correct?

Tristin Wu 2022-12-03

Solve the equation $x^{6} - 2 x^{5} + 3 x^{4} - 3 x^{2} + 2 x - 1 = 0$
Let's divide both sides of the equation by $x^{3} \neq 0$ (as $x = 0$ is obviously not a solution, we can consider $x \neq 0$ ). Then we have
$x^{3} - 2 x^{2} + 3 x - 3 \cdot \frac{1}{x} + 2 \cdot \frac{1}{x^{2}} - \frac{1}{x^{3}} = 0 (x^{3} - \frac{1}{x^{3}}) - 2 (x^{2} - \frac{1}{x^{2}}) + 3 (x - \frac{1}{x}) = 0$
What do we do now? If we say $y = x - \frac{1}{x}$ , we won't be able to express $(x^{2} - \frac{1}{x^{2}})$ in terms of $y$ because of the minus sign as $(a - b)^{2} = a^{2} - 2 a b + b^{2}$ . On the other side,
$y^{3} = x^{3} - \frac{1}{x^{3}} - 3 (x - \frac{1}{x}) x^{3} - \frac{1}{x^{3}} = y^{3} + 3 y$
I think this is a traditional issue when solving reciprocal equations, but I can't figure out how to deal with it.

robidEi8 2022-12-01

Create a polynominal array which represents the polynominal
$x^{5} + x^{3} - x$

Emiliano Guzman 2022-11-27

Is x - 1/x a polynomial

nazismes2w7 2022-11-26

Find the MacLaurin polynomial for $f (x) = \frac{1}{1 + 5 x^{3}}$ by substituting $- 5 x^{3}$ for x in the Maclaurin polynomial of $\frac{1}{1 - x}$

chiodaiokaC 2022-11-24

Which one of the following is a polynomial?
A) $\frac{x^{2}}{2} - \frac{2}{x^{2}}$
B) $\sqrt{2 x} - 1$
C) $x^{2} + \frac{3 x^{\frac{3}{2}}}{\sqrt{x}}$
D) $\frac{x - 1}{x + 1}$

jastukudYb 2022-11-23

Way to show $x^{n} + y^{n} = z^{n}$ factorises as $(x + y) (x + ζ y) \dots (x + ζ^{n - 1} y) = z^{n}$

Joglxym 2022-11-23

Is it possible to find polynomials with rational coefficients $P (x), Q (x)$ such that $P x^{3} + P x^{2} + Q x + 2 Q = 1$ ?

gheadarce 2022-11-22

For the polynomial function $Q (x) = 4 x^{2} - 2 x - 1$ us the Remainder Theorem to evaluate Q(3).

Nola Aguilar 2022-11-19

Find an nth-degree polynomial function with real coefficients satisfying the given conditions
$n = 4 2 i and 3 i are zeros f (- 1) = 100$

Joglxym 2022-11-18

Find a and b such that x+1 and x+2 are factors of the polynomials $x^{3} + a x^{2} - b x + 10$

vidamuhae 2022-11-18

Showing that: $(\frac{a}{b + c})^{2} + (\frac{b}{a + c})^{2} + (\frac{c}{a + b})^{2} + \frac{10 a b c}{(a + b) (b + c) (c + a)} \geq 2$

Uroskopieulm 2022-11-17

f(x), g(x) are nonzero polynomials and $f (x^{2} + x + 1) = f (x) g (x)$ . Show that f(x) has even degree.

Adrian Brown 2022-11-16

Let $f (x) = x^{n} + 5 x^{n - 1} + 3$ where $n \geq 1$ is an integer. Prove that $f (x)$ can't be expressed as the product of two polynomials each of which has all its coefficients integers and degree $\geq 1$ .

Rosemary Chase 2022-11-16

Find all the roots of the following polynomial:
$z^{3} + z^{2} - 7 z + 65$

gfresh86iop 2022-11-15

Let $p (x) = 4 x^{3} - 4 x^{2} + 5 x + 4$ , how can I show that the quadratic factor of p(x) is positive for all real value of x ?

Milena Haile2022-11-14

When you are looking through polynomials questions as you try to understand what are the expressions with all these indeterminates and coefficients, it is essential to see some polynomials examples. Since there are different types of polynomials, you will have Monomial, Binomial, and Trinomial in most cases. You will require a polynomials solver by taking a look at the answers provided. Always think about polynomials equations type before you start as it is what you have to do with algebraic expressions. The list of extensive and free polynomials questions and answers will help you learn and see the logic.

Precalculus

Get Expert Help with Polynomials: Practice Questions and Examples