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Find where the equation y = x^2 + x - 2 crosses the x-axis.

First, notice that any equation crosses the x-axis when y = 0.Second, notice that x2 + x - 2 = 0 is an example of a quadratic equation. So, we generally do 1 of 3 things (Factorise, Complete th...

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Answered by Asad R. Maths tutor
2556 Views

Use the factor theorem to show that (x+2) is a factor of g(x)= 4x^3 - 12x^2 - 15x + 50

To prove (x+2) is a factor, the value of x that makes x+2 equal 0 must be substituted into the function g(x) also making g(x)=0. In this case, the value of x being -2 makes x+2 equal to 0 and when substit...

JR
Answered by James R. Maths tutor
9417 Views

Find the area bounded be the curve with the equation y = x^2, the line x = 1, the line x = -1, and the x-axis.

The answer is 2/3. This can either be obtained by performing a standard integration of y=x^2, using the power rule, between x = 1 and x = -1. Alternatively, integrate y = x^2 between x = 0 and x = 1, then...

IA
Answered by Isaac A. Maths tutor
2567 Views

How do you sketch the curve y=(x^2 - 4)(x+3), marking on turning points and values at which it crosses the x axis

First, factorise the equation into y = (x+3)(x-2)(x+2), nothing that x2-4 is the difference of two squares so is easy to factorise. From the factorised equation, the points at which the curve...

Answered by Maths tutor
3303 Views

factorise 2x^2 +10x

2x(x+5)

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Answered by Ashley S. Maths tutor
3408 Views

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