# How do you factor the trinomial #8z^2+20z-48#?

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#### Explanation

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you can divide all the terms by a common factor

this expression can be factorised by grouping:

the first and last coefficients are

the product of this is

then, you can find

the two numbers that add to give the second coefficient are

therefore the second term can be expressed as the sum of two terms,

this gives the expression

then you can factorise each adjacent pair:

therefore

this sum is the same as

then you have the expression

the expression given in the question is

that is

therefore it can be written as

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