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Factorising basic quadratics into linear expressions

Factorising further basic quadratics into linear expressions

Factorising further quadratics into linear expressions

Factorising further quadratics into linear expressions using the formula

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$.

Find the critical point  $(0,a)$ of the function: $f(x,y)=ax^3+bx^2y+cy^2+dy+f$ and find its type using the test given by the Hessian matrix.

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Using the chain rule with polynomials

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The custom function rectangle(width,height) draws a rectangle with the given dimensions, along with some labels.

Multiplication of $2 \times 2$ matrices.

Quotient and remainder, polynomial division.

Quotient and remainder, polynomial division.

Simplify fractions involving the products of factorials.

Compute the factorials of some small numbers.

Simplify fractions involving the products of factorials.

Cancel fractions where the numerator and denominator are both factorials.

Factorising polynomials using the highest common factor

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A basic introduction to differentiation

A basic introduction to differentiation

Using the chain rule with polynomials and negative powers

Introduction to using the product rule