If − 7 + has 14 as the sum of the zeroes and also as product of the zeroes, find the value of a and c.
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Step-by-step explanation
Given polynomial : ax² - 7x + c
It is in the form of Ax² + Bx + C
Then,
A = a , B = -7 and C = c
Now,
Sum of zeros = 14 _ _ [ Given ]
-B/A = 14
-(-7)/a = 14
7 = 14a
=> a = 1/2
And,
Product of zeros = 14
C/A = 14
c/a = 14 => c/(1/2)= 14
=> c = 14×1/2 => c = 7
Hence,
a = 1/2 and c = 7
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