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How to factorise the expression x^2 + 8x + 15

We need to get the quadratic expression into the form (x + a)(x + b). If we expand this expression using FOIL, we see that the resulting expression is x 2 + (a+b)x + ab. We can now find a and b by comparing ...
CS
Answered by Charlotte S. • Maths tutor
4671 Views

How do I calculate negative powers?

The power of a number indicates how many times that number must be multiplied by itself. If the power is a negative, this means that the number (or the base) is a fraction, with the base as a denominator. Fo...
MN
Answered by Molly N. • Maths tutor
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f(x) = 4x - m, g(x) = mx + 11, fg(x) = 8x + n. m and n are constants. Find the value of n.

If f(x) = 4x - m, and g(x) = mx +11, then the combined functions are: fg(x) = 4(mx +11) -m, or expanded to fg(x) = 4mx + 44 - m. We are told that this function of 'f' and 'g' can also be written as fg(x) = 8...
AB
Answered by Angus B. • Maths tutor
4990 Views

Expand and simplify the following expression: (2x-1)(3x+2)

Use a double-bracket expansion method such as FOIL (first, outer, inner, last). If you don't know FOIL or how to expand double brackets, don't worry, I will explain it to you in the session. 6x 2 - 3x + 4x -...
OB
Answered by Oliver B. • Maths tutor
11887 Views

Solve 3x2 + 7x – 13 = 0 Give your solutions correct to 2 decimal places.

a=3 b=7 c=-13 Use quad formula: -b+-root[(b^2-4ac)/2a] Sub in values: -7+-root[7^2-4x3x-13] =1.22 and -3.55
BP
Answered by Bronte P. • Maths tutor
6376 Views