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f ( x ) = 2 x ^3 − 5 x ^2 + ax + a. Given that (x + 2) is a factor of f ( x ), find the value of the constant a. (3 marker)

If x+2 is definitely a factor, that means when we sub x=-2 in, we should get 0 at the end. So 2(-2)^3 - 5(-2)^2 + a(-2) + a = 0So -16 -20= aso a = -36
Answered by • Maths tutor
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Use the quadratic formula to find the solutions to x^2+2x-35=0

x=5 and x=7
GN
Answered by Georgia N. • Maths tutor
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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

The equation for the area of a triangle is 1/2 x base x height So, first we need to know the length of the base and the height of the triangle. We know that the perimeter of the triangle is 72cm, and the rat...
AB
Answered by Alison B. • Maths tutor
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Express 4x/(x^2-9) - 2/(x+3) as a single fraction in its simplest form.

In order to add or subtract terms to/from each other, both of their denominators (the number on the bottom of the fraction) must be the same. In this case they are different, so the first step is to try and ...
AE
Answered by Alex E. • Maths tutor
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Complete the square for the following equation: 2x^2+6x-3=0

2x 2 +6x-3=0To begin, we need to make sure x 2 is by itself, meaning that we divide the whole equation by 2. So from here we get (2x 2 +6x-3=0) / 2 = x 2 +3x-3/2=0. Now as we have got the x 2 on its own, we ...
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