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Show That `X-2` is a Factor of `5x^2+15x-50` - ICSE Class 10 - Mathematics

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Question

show that 

`x-2` is a factor of `5x^2+15x-50`  

Solution

(x – a) is a factor of a polynomial f(x) if the remainder, when f(x) is divided by (x – a), is 0, i.e., if f(a) = 0. 

`f(x)=5x^2+15x-50` 

`f(2)=5(2)^2+15(2)-50=20+30-50=0`  

Hence, x-2 is a factor of `5x^2+15x-50` 

 

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Solution Show That `X-2` is a Factor of `5x^2+15x-50` Concept: Factor Theorem.
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