624 results for "quadratic".
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Question in HELM books
Factorise a quadratic. Part of HELM Book 1.3
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Question in HELM books
Factorise a quadratic. Part of HELM Book 1.3
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Question in MASH Bath: Question Bank
Solving a pair of simultaneous equations of the form $a_1x+b_1y=c_1$ and $a_2 x^2+b_2y^2=c_2$ by forming a quadratic equation.
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Question in MASH Bath: Question Bank
Solving a pair of simultaneous equations of the form $a_1xy=c_1$ and $a_2x+b_2y=c_2$ by forming a quadratic equation.
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Question in MASH Bath: Question Bank
Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are given in the question.
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Question in Foundation Maths
Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.
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Question in Foundation Maths
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.
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Question in Foundation Maths
Show one of several blocks of text depending on the value of a question variable.
As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.
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Question in Foundation Maths
Differentiate $\displaystyle (ax^m+bx^2+c)^{n}$.
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Question in Foundation Maths
Students enter equation and turning point
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Question in MASH Bath: Question Bank
Finding the product of two linear functions of the form $mx+c$ and a quadratic function of the form $ax^2+bx+c$.
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Question in MASH Bath: Question Bank
Given two quadratic expressions $f(x)$ and $g(x)$, calculate $f(x)(g(x)-f(x))$.
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Question in MASH Bath: Question Bank
Calculate the product of two quadratic expressions of the form $ax^2+bx+c$.
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Question in MASH Bath: Question Bank
Calculating a quartic polynomial by squaring a quadratic expression of the form $ax^2+bx+c$.
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Question in MASH Bath: Question Bank
Multiplying a linear expression of the form $mx+c$ by a quadratic expression of the form $ax^2+bx+c$.
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Question in MASH Bath: Question Bank
Solving a quadratic equation via factorisation, with the $x^2$-term having a coefficient of 1.
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Question in MASH Bath: Question Bank
Factorising a quadratic expression of the form $a^2x^2-b^2$ to $(ax+b)(ax-b)$, using the difference of two squares formula.
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Question in MASH Bath: Question Bank
Factorising a quadratic expression of the form $ax^2+bx+c$, where $a>1$.
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Question in MASH Bath: Question Bank
Factorising a quadratic expression with the $x^2$-term having a coefficient of 1.
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Question in MASH Bath: Question Bank
Factorising a quadratic expression of the form $x^2+bx+c$ by completing the square.
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Question in Emil's workspace
Derivatives from first principles, quadratic
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Question in MASH Bath: Question Bank
Rewrite the expression $\frac{cx+d}{kx^2+mx+n}$ as partial fractions in the form $\frac{A}{kx+a}+\frac{B}{x+b}$, where the quadratic $kx^2+mx+n=(kx+a)(x+b)$.
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Question in MASH Bath: Question Bank
Rewrite the expression $\frac{cx+d}{x^2+mx+n}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}$, where the quadratic $x^2+mx+n=(x+a)(x+b)$.
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Question in MASH Bath: Question Bank
Rewrite the expression $\frac{c}{x^2+mx+n}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}$, where the quadratic $x^2+mx+n=(x+a)(x+b)$.
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Question in MASH Bath: Question Bank
Rewrite the expression $\frac{c}{kx^2+mx+n}$ as partial fractions in the form $\frac{A}{kx+a}+\frac{B}{x+b}$, where the quadratic $kx^2+mx+n=(kx+a)(x+b)$.
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Question in HELM books
Factorise a quadratic. Part of HELM Book 1.3
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Question in HELM books
Is this polynomial a quadratic, linear or constant? Part of HELM Book 1.2
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Question in Musa's workspace
A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).
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Question in Musa's workspace
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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Question in Musa's workspace
A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.
Finding X-Y intercepts for quadratic and cubic equations.