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

Proof of $p^{'} (x)^{2} \geq p (x) p^{″} (x) for all x \in R$

joyoshibb 2022-08-12

Find all real m such that $x^{3} - 2 x^{2} - 2 x + m$ has 3 distinct rational roots.

Flambergru 2022-08-12

How do you factorize this polynomial:
$x^{3} - 7 x + 6$

Max Macias 2022-08-12

Polynomial $P \in R [x]$ with $\bar{P (\bar{x})} = P (x), \forall x \in C$

Brandon Monroe 2022-08-12

How to tell that $x^{2} - x \sin (x) - \cos (x)$ has no real roots?

sondestiny120g 2022-08-11

Find the equation with roots, A, B, C is ABC=6, A+B+C=5 and $A^{2} + B^{2} + C^{2} = 21$

Sandra Terrell 2022-08-11

Assuming $0 < ϵ ≪ 1$ find all the roots of the polynomial
$ϵ^{2} x^{3} + x + 1$
which are $O (1)$ up to a precision of $O (ϵ^{2})$

ahredent89 2022-08-11

I have to prove that:
$f (x) = P (x) + P^{'} (x) + P " (x) + . . . . . . + P^{n} (x) \geq 0$ for all x

traucaderx7 2022-08-11

Can't simplify this fraction: $\frac{1 + x^{6}}{1 + x^{2}}$

motsetjela 2022-08-10

Find the square root of the polynomial-
$\frac{x^{2}}{y^{2}} + \frac{y^{2}}{x^{2}} - 2 (\frac{x}{y} + \frac{y}{x}) + 3$

abrigairaic 2022-08-10

Let $f = X^{2} + 1 \in F_{5} [X]$ and $α = X + ⟨ f ⟩ \in R$ . Show that $α \in R^{}$ and that $| α | = 4$ in $R^{}$

allucinemsj 2022-08-09

Let $a, b, c \in C$ , and define
$f (x, y) = a e^{i (x + y)} - b (e^{i x} + e^{i y}) + c$
for $x, y \in [- π, π]$

opositor5t 2022-08-09

If $x^{n} + p x + p^{2}$ irreducible in $Z [x]$ ?

gladilkamwy 2022-08-09

The largest root of $- 3 x^{3} + 24 x^{2} + 6 x - 9 = 0$

Lokubovumn 2022-08-09

Consider the polynomial $f (x) = x^{3} + a x + b$ , where a and b are constants. If $f (x + 1004)$ leaves a remainder of 36 upon division by $x + 1005$ , and $f (x + 1005)$ leaves a remainder of 42 upon division by $x + 1004$ , what is the value of $a + b$ ?

kvasilw0 2022-08-09

Minimal polynomial of $ω := ζ_{7} + \bar{ζ_{7}}$

Ashlynn Hale 2022-08-05

Assume that a polynomial, P(x), has n real roots in theinterval [a,b]. Show that $P^{(n - 1)} (x)$ has at least one real root in teh interval[a,b].

imire37 2022-08-02

When a polynomial P(x) is idvided by 2x+1 the quotient is $x^{2} - x + 4$ and the remainder is 3 find P(x)

Jaxon Hamilton 2022-07-31

If P(x) is a cubic polynomial such that P(0)=0 P(2)=-4 and P(x)is positive only when x> 4 find P(x)

acsuvaic9 2022-07-30

Determine the leading term, the leading coefficient, and the degree of the polynomial. Then classify the polynomial asconstant, linear, quadratic, cubic, or quartic.
$g (x) = - \frac{1}{3} x^{2} - 3 x + 6$

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