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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 x 2 + x - 2 = 0 is an example of a quadratic equation. So, we generally do 1 of 3 things (Factorise, Complete the square or u...
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Answered by Asad R. • Maths tutor
3212 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 substitute...
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Answered by James R. • Maths tutor
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factorise 2x^2 +10x

2x(x+5)
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Answered by Ashley S. • Maths tutor
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A curve has an equation of y=2x^2 + 7x -8 . Find the co-ordinates of the turning point

Student will need to understand that the turning point will be a minimum as the curve is positiveStudent should complete the square:1) factorise out the 2: 2(x 2 + 7/2 x) - 82) complete the square : 2[(x+7/4...
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Answered by Farah H. • Maths tutor
3616 Views

Solve the simultaneous equations 3x + y = 23 and 4x + 4y = 52

3x + y =23, 4x +4y=5212x+4y=92, 12x+12y=1568y=64y=8sub in3x+8=23, 3x=15x=5y=8x=5
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Answered by Samuel B. • Maths tutor
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