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The product of a number of factors can be zero only if one of them is zero.

So, if a given expression is zero, you factorise it and then, by the above rule, the statement is true if any one of the factors is zero. You therefore set each factor equal to zero to find the different possible solutions.

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Q: Why do we equate each factor to zero?
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Related questions

How does the zero product rule help you solve quadratic equations?

Factor it! Set each equal to zero! Solve


Which values of x would make a polynomial equal to zero if the factors of the polynomial were and?

Set each factor, in turn, equal to zero and solve for x.


Is every number a factor of 0?

Yes. Every integer is a factor of zero. Zero is in fact the only number that can be divided by zero, so zero is also a factor. Zero has an infinite number of factors.


What number is not a factor of any number but zero?

No number exists. ============ Zero is not a factor of any number but zero.


Why do you equate the equation to zero?

Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.


Why is zero not a factor?

Zero is only a factor of zero. If I have 0 and multiply it by any other number, I still get 0. No number can be divided by zero - the concept is meaningless.


Can zero be a factor?

No.


Why is 0 not a factor of any whole number?

For zero to be a factor of a number, there would have to be another factor paired with it. Since zero times anything is zero, you will never be able to multiply zero with anything to get any number other than zero.


Is zero ever used as a Greatest common factor?

No. Zero is never a factor, except for maybe zero itself and that's a matter of definition that I don't know.


What is the power factor of AC generator when the reactive power is equal to zero?

Per factor is 1 when reactive power is zero.


How do you multiply numbers ending in zero?

You add a zero at the end of the factor


What are the Common factors of 0 and 4?

Zero is not a factor of 4. Zero is only a factor of zero! The factors of 4 are 1, 4, 2 The factors of zero are zero and any other number. Therefore the common factors are 1,2 and 4