factorize :
a² + 5a - 104
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Step-by-step explanation:
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Step-by-step explanation:
In the given polynomial: a^2 + 5a-104
The first term is a^2 and its coefficient is 1.
The middle term is 5a and its coefficient is 5.
The last term is a constant term −104.
Multiply the coefficient of the first term by the constant 1*−104=−104.
We now find the factor of −104 whose sum equals the coefficient of the middle term, which is 5 and then factorize the polynomial a ^2 +5a−104 as shown below:
a ^2 +5a−104
= a ^2 +13a−8a−104
=a(a+13)−8(a+13)
=(a−8)(a+13)
Hence, a ^2 +5a−104=(a−8)(a+13).
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