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

Suppose $λ_{1}, λ_{2}, λ_{3}$ is the roots of $f (x) = x^{3} + x^{2} + x - 1$ , $g (x) = x^{2} + x + 1$ , solve for a polynomial p(x) with rational coefficients such that $g (λ_{1}), g (λ_{2}), g (λ_{3})$ is the root of it.

Expositur3e 2022-08-19

Find the square root of $(x^{2} + 3 x + 7) (x^{2} + 5 x + 3) + (x - 2)^{2}$

Holzkeulecz 2022-08-18

Proving $\frac{- θ + θ^{2}}{2}$ is an algebraic integer in $K = Q (θ)$ , given that $θ^{3} + 11 θ - 4 = 0$

Tarnayfu 2022-08-18

I have problem with solving:
$x^{3} - 2 x - 4 \sqrt{6} = 0$

garkochenvz 2022-08-18

Let $F_{256}$ be the finite field with $2^{8} = 256$ elements. Consider the polynomial over this field
$x^{2} + x + 1.$

Adeline Mooney 2022-08-18

Find a polynomial function with real coefficients that has the given zeros.1, 5i

podmitijuy0 2022-08-17

How to find $\sqrt{1 + \frac{4}{x} + \frac{4}{x^{2}}}$ ?

granuliet1u 2022-08-17

Use induction on n to verify that $1 + x + \dots + z^{n} = \frac{1 - z^{n + 1}}{1 - z}$ (for $z \neq 1)$ . Use this to show that if c is an n-th root of 1 and $c \neq 1$ , then $1 + c + \dots + c^{n} = 0$

djedgaravilafo 2022-08-17

Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

badlife18va 2022-08-16

What should be added to $x^{4} + 2 x^{3} - 2 x^{2} + x - 1$ to make it exactly divisible by $x^{2} + 2 x - 3$ ?

Roderick Bradley 2022-08-16

Root of the function $f (x) = x e^{x} - R$

Matonya 2022-08-16

Find the minimal polynomial over $Q$ and $R$ for ... $\sqrt[3]{3}$ , $1 - i \sqrt{3}$ , $i \sqrt[3]{3}$

makeupwn 2022-08-15

Find solution:
$If (3 \sec x + \csc x) \sin x = 5 \cos^{2} x, calculate z = \tan x + \sec x$

cofak48 2022-08-15

How to find the roots of $x^{4} + 1$

Gauge Roach 2022-08-14

If the equation $x^{4} - 4 x^{3} + a x^{2} + b x + 1 = 0$ has four positive roots then a=? and b=?

yongenelowk 2022-08-13

How do you factor $(10 x + 24)^{2} - x^{4}$

Jazmin Clark 2022-08-13

Let $f (z) = A_{0} + A_{1} z + A_{2} z^{2} + \dots + A_{n} z^{n}$ be a complex polynomial of degree $n > 0$
Show that $\frac{1}{2 π i} \int_{| z | = R} z^{n - 1} | f (z) |^{2} d z = A_{0} \bar{A_{n}} R^{2 n}$ \

Blaine Ortega 2022-08-13

Let $P, Q : R \to R$ are polynomials, and $Q (n) \neq 0$ for $n \in N$ Suppose, that $\deg (P) < \deg (Q)$ . Prove, that infinite sum
$\sum_{n = 1}^{\infty} (- 1)^{n} \frac{P (n)}{Q (n)}$

iroroPagbublh 2022-08-13

If the sum of two roots of
$x^{4} + 2 x^{3} - 8 x^{2} - 18 x - 9 = 0$
is 0, find the roots of the equation

Filipinacws 2022-08-13

How to prove that the sum of the squares of the roots of the nth Hermite polynomial is $\frac{n (n - 1)}{2}$ ?

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