Find the quadratic polynomial whose zeroes are 4 and (-4).
Answers
The quadratic polynomial whose zeroes are 4 , - 4 is x² - 16
Given :
The zeroes of a quadratic polynomial are 4 , - 4
To find :
The quadratic polynomial
Concept :
If the Sum of zeroes and Product of the zeroes of a quadratic polynomial is given then the quadratic polynomial is
Solution :
Step 1 of 2 :
Find Sum of zeroes and Product of the zeroes
Here it is given that zeroes of a quadratic polynomial are 4 , - 4
Sum of zeroes = 4 + ( - 4 ) = 4 - 4 = 0
Product of the zeroes = 4 × ( - 4 ) = - 16
Step 2 of 2 :
Find the quadratic polynomial
The required quadratic polynomial
Hence the quadratic polynomial whose zeroes are 4 , - 4 is x² - 16
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