479 results for "quadratic".

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• MATH6058 Factorising Quadratic Equations with $x^2$ Coefficients of 1

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.

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• Factorise a quadratic

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.

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• Andrew's copy of Complete the square and find solutions

Solve a quadratic equation by completing the square. The roots are not pretty!

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• Algebra: Factorising quadratics

Several quadratics are given and students are asked to factorise them.

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• Solve Equations of the Form $ax^2 +bx+c=0$

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

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• Completing the square and finding roots of a quadratic equation

Solve a quadratic equation by completing the square. The roots are not pretty!

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• Factorise the quadratic expression - Refresh

Testing factorisation of quadratics.

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• Diff: Quotient rule - differentiate quadratic over quadratic

The derivative of $\displaystyle \frac{ax^2+b}{cx^2+d}$ is $\displaystyle \frac{g(x)}{(cx^2+d)^2}$. Find $g(x)$.

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• Gizem's copy of factorise a quadratic (order of answers etc)

Quadratic factorisation that does not rely upon pattern matching.

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• Definite integrals

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

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