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Q.

Is it true that we can find the product of the polynomial x+8 x−10   using a suitable identity?


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a

True

b

False 

answer is A.

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Detailed Solution

The given expression is x+8 x−10  .
We must note the following important identity.
p+q)(p+r =p²+(q+r)p+qr  …(i)  
We can substitute the variables p, q, r on the left–hand side of this identity (i) with any values and obtain the expanded form by putting the respective values on the right–hand side of the identity (i).
Now, we have the following observation.
The polynomial x+8 x−10   is expanded in the following way using the identity (i).
Substitute p=x, q=8, r=–10 in the identity (i) to get the following expansion after simplification.
= x+8 x−10 = x ²+(8−10)x+8× −10 = x 2 −2x−80  
Hence, the required product of the polynomial x+8 x−10 = x 2 −2x−80  .
Hence, the given statement is true, we can find the product of the polynomial x+8 x−10   using a suitable identity.
Therefore, the correct option is 1.
 
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