What are the restrictions for a? 2a^2+a-15/5a^2+16a+3

ANSWER

The restrictions are

EXPLANATION

We were given the rational function,

The function is defined for all values of a, except

This has become a quadratic trinomial, so we need to split the middle term.

We do that by multiplying the coefficient of which is 5 by the constant term which is 3. This gives us 15.

The factors of 15 that adds up to 16 are 1 and 15.

We use these factors to split the middle term.

We now factor to get,

We factor further to get,

This implies that,

This gives

These are the restrictions.

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explanation:

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