Search our library of Maths GCSE questions

Top answers

Maths

GCSE

4x^2 + 8x + 3 can be written in the form a(x + b)^2 + c where a, b and c are whole numbers. Work out the values of a, b and c.

Factorise 4x²+ 8x + 3 = 4(x²+ 2x + 3/4) divide the coefficient of x by 2: 2/2=1 Now x²+2x = (x+1)²-1² = (x+1)²-1 Hence, 4((x+1)²

Answered by Donny W. • Maths tutor

12653 Views

Factorise x^2 - x - 6

You need 2 numbers that multiply together to make -6, and add together to make -1. The options to multiply to make -6 are: 6 and -1, -6 and 1, -3 and 2, 3 and -2. Looking at this list, the pair of numbers...

Answered by Charlotte G. • Maths tutor

5490 Views

Solve the equation 9x - 15 = 5 - x

This question is about rearranging the equation so that all the known variables are on one side and all the unknown variables are on the other side. To start with we can look at the x terms, remembering t...

Answered by Ella S. • Maths tutor

3715 Views

How does the equation of a circle work? What do the individual parts represent?

A student will often see the equation of a circle in the form (x-a)²+(y-b)²=r². In this instance, a and b simply represent numbers. They are not variables. In fact, a repr...

Answered by Milo L. • Maths tutor

2949 Views