Search - Numbas at mathcentre.ac.uk

20 results.

Graphing: circles - completing the square
Ready to use
Question in Graphing and Polynomials by Ben Brawn

Completing the square twice to determine the radius and centre of a circle.
Solving a quadratic by completing the square
Ready to use
Question in Algebra by Ben Brawn

No description given
AD3 Completing the square
Ready to use
Question in Skills Audits for Maths and Stats by Andrew Neate and 2 others

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$ .
Completing the square
Ready to use
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Factorising a Quadratic Function
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Integration by partial fractions
Ready to use
Question in Bill's workspace by Bill Foster and 1 other

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.
Numbas demo: video
Ready to use
Question in Demos by Christian Lawson-Perfect

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.
Complete the square. (Video)
Draft
Question in Bill's workspace by Bill Foster

Find $p$ and $q$ such that $ax^2+bx+c = a(x+p)^2+q$ .

Hence, or otherwise, find roots of $ax^2+bx+c=0$ .

Includes a video which shows how to solve a quadratic by completing the square.
Complete the square
Draft
Question in Bill's workspace by Bill Foster

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$ .
Integration by partial fractions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

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.
Integration by partial fractions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

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.
Complete the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $B$ and $C$ such that $x^2+bx+c = (x+B)^2+C$ .
Complete the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $a$ , $B$ and $C$ such that $ax^2+bx+c = a(x+B)^2+C$ .
Completing the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$ .
Complete the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

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 $q(x)=0$ .
Completing the square
Ready to use
Question in Transition to university by Hannah Aldous and 1 other

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$ .
Lois's copy of Complete the square
Draft
Question in Algebra by Lois Rollings

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$ .
YJ's copy of Numbas demo: video
Ready to use
Question in YJ's workspace by YJ Kim

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.
Integration by partial fractions. (Video)
Ready to use
Question in Bill's workspace by Bill Foster

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.
Factorising Quadratics 5 - Completing the Square
Ready to use
Question in Katie's workspace by Katie Lester

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

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