305 results for "polynomial".

Question in College Algebra for STEM
Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.

Question in College Algebra for STEM
This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.

Question in College Algebra for STEM
Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.

Exam (13 questions) in Anna's workspace
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
Missing: Application with bacteria, turning points, difficult chain rule

Question in Tom's workspace
Factorising polynomials using the highest common factor.
Adapted from 'Factorisation' by Steve Kilgallon.

Question in MTH101 Assessment
Differentiate
\[ \sqrt{a x^m+b})\]

Question in Rebelmaths and similar
Let $P_n$ denote the vector space over the reals of polynomials $p(x)$ of degree $n$ with coefficients in the real numbers.
Let the linear map $\phi: P_4 \rightarrow P_4$ be defined by:
$\phi(p(x))=ap(x) + (bx + c)p'(x) + (x ^ 2 + dx + f)p''(x)$
Using the standard basis for range and domain find the matrix given by $\phi$.

Question in Rebelmaths and similar
Let $P_n$ denote the vector space over the reals of polynomials $p(x)$ of degree $n$ with coefficients in the real numbers. Let the linear map $\phi: P_4 \rightarrow P_4$ be defined by: \[\phi(p(x))=p(a)+p(bx+c).\]Using the standard basis for range and domain find the matrix given by $\phi$.

Question in Shivram's workspace
Factorising polynomials using the highest common factor.
Adapted from 'Factorisation' by Steve Kilgallon.

Exam (12 questions) in Kevin's workspace
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
Missing: Application with bacteria, turning points, difficult chain rule

Question in Kevin's workspace
Complete the square for a quadratic polynomial $q(x)$ by writing it in the form $a(x+b)^2+c$. Find both roots of the equation $q(x)=0$.

Exam (12 questions) in Engineering Maths (RQF): LO1
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
Missing: Application with bacteria, turning points, difficult chain rule

Question in MY QUESTIONS
Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

Question in MY QUESTIONS
Find the first 3 terms in the Taylor series at $x=c$ for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

Question in MY QUESTIONS
Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.

Question in MY QUESTIONS
Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

Question in MY QUESTIONS
Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

Question in MY QUESTIONS
This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS. Student has to decide what kind of map it represents and whether an inverse function exists.

Exam (12 questions) in Maria's workspace
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
Missing: Application with bacteria, turning points, difficult chain rule

Exam (13 questions) in Maria's workspace
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
rebelmaths

Exam (12 questions) in Maria's workspace
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
rebelmaths

Exam (9 questions) in Maria's workspace
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
rebelmaths

Exam (13 questions) in Maria's workspace
Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.

Exam (5 questions) in Maria's workspace
5 questions on definite integrals  integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Exam (12 questions) in Ann's workspace
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
rebelmaths

Exam (12 questions) in Maria's workspace
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
rebelmaths

Question in JD's workspace
Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.

JD's copy of Finding the missing value of a constant in a polynomial, using the Factor Theorem DraftQuestion in JD's workspace
Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.

Question in JD's workspace
Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.

Question in JD's workspace
This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS. Student has to decide what kind of map it represents and whether an inverse function exists.