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# What is the general form for a quadratic equation?

By Filsan on the 10th of January, 2013

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The general form of a quadratic equation is:

f(x) = ax2 + bx +c

Where a, b and c are real numbers and not equal to zero. The graph of a quadratic equation is called parabola.

By madhuchaliyan on the 15th of January, 2013

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Randy went to the Candy Store. While examining the prcies, he realized that a single lollipop costs \$0.15 more than a chocolate bar. His total price for lollipops and chocolate bars is \$15.00. How much does each type of candy cost?~Akshay

By Adersh Antony on the 19th of January, 2013

## Use index laws to evaluate any expression involving powers

Index form is another way of writing numbers, which sometimes looks neater, or simpler.

49 can be written as 7 for example, or 175,616 can be written as 563.

A number with a large index, such as 524, is a very big number.  If we ever had to multiply something like 524 x 520, it would take a long time, look messy, and involve having to write out number with dozens of digits.

Luckily, we have discovered special rules which can make the calculation much easier.  Provided the base number is the same, we can just add the indices together

e.g. 524 x 520 = 524+20 = 544

This doesn’t work if the base numbers are different

e.g. 524 x 720 is NOT 544, or 3544, or 1244

In algebra, we can do the same thing, provided the letter is the same:

e.g. y15 x y10 = y15+10 = y25

If we are dividing numbers in index form, we can subtract the indices.

e.g. y15 ÷ y10 = y15-10 = y5

## Follow the links below to see how this topic has appeared in past exam papers

AQA Unit 2 March 2011 (H) - Page 8, Question 12(b)

Other Relates Topics…

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