347 results for "factor".

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• Polynomial Quiz
Needs to be tested
Exam (2 questions)
A quick quiz on dividing polynomials and using the factor theorem.
• Question

Some quadratics are to be solved by factorising

• Question

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

• Question

Aplique el teorema del factor para verificar cuáles de una lista de polinomios lineales son factores de otro polinomio.

• Question

Some quadratics are to be solved by factorising

• LCM and HCF
Draft
Question
Calculating the LCM and HCF of numbers by using prime factorisation.
• Question
Writing numbers as a product of prime factors
• Random file in SPSS
Needs to be tested
Question

SPSS fat absorption question. Student downloads one of several SPSS files and carries out some analysis in SPSS, before returning to enter the answers. The analysis is a one-way analysis of variance. If there is a difference in the levels of the factor then a post hoc test (Tukey's honestly significant difference) is used to determine which pairs of variables are significantly different.

• Question

Quadratic factorisation that does not rely upon pattern matching.

• Question

Quotient and remainder, polynomial division.

• Question

No description given

• Question

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

• Numbas demo: video
Question in Demos

Customised for the Numbas demo exam

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

Video in Show steps.

Question

Quadratic factorisation that does not rely upon pattern matching.

• Question in How-tos

A function which renders the factorisation of a number in LaTeX.

• Question in How-tos

Show a list of the factors of a number.

Works by testing each number up to $n$ for divisibility by $n$, so won't do well with really big numbers. Certainly fast enough for numbers up to 4 or 5 digits.

• Question in How-tos

A mathematical expression part whose answer is the product of two matrices, $X \times Y$.

By setting the "variable value generator" option for $X$ and $Y$ to produce random matrices, we can ensure that the order of the factors in the student's answer matters: $X \times Y \neq Y \times X$.

• Question in How-tos

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

• Question in How-tos

Student is asked whether a quadratic equation can be factorised. If they say "yes", they're asked to give the factorisation.

• Question

Some quadratics are to be solved by factorising

• Question

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Inputting the values given into the partial derivatives to see if 0 is obtained is tedious! Could ask for the factorisation of equation 1 as the solution uses this. However there is a problem in asking for the input of the stationary points - order of input and also giving that there is two stationary points.

• Exam (1 question)

Statistics and probability. A question on two factor ANOVA.

• Question

Two factor ANOVA example

• Factorise four numbers
Doesn't work
Question

Pick four numbers from $1900\dots 2015$ and ask the student to factorise them.

Custom marking scripts make sure the student has entered a complete factorisation.

• Question

Factorising 5 to 7 digit numbers into a product of prime powers.

Uses the marking algorithms from question 1 of this CBA

• Question

Factorise $x^2+bx+c$ into 2 distinct linear factors and then find $\displaystyle \int \frac{a}{x^2+bx+c }\;dx$ using partial fractions or otherwise.

• Question

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

• Question

Reducing fractions to their lowest form by cancelling common factors in the numerator and denominator. There are 4 questions.

• Question

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

• Question

Factorise $\displaystyle{ax ^ 2 + bx + c}$ into linear factors.