7. Find the zeroes of the quadratic polynomial p (x) = 4x2 + 5V2 x-3 and verify the
es, find relationship between the zeroes and the coefficients of the polynomial.
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Step-by-step explanation:
We have,
4x2 – 3x-7
= 4x2 - 7x + 4x - 7
= x(4x - 7) + 1(4x - 7)
= (4x - 7)(x + 1)
So, the value of 4x? - 3x - 7 is zero when
4x 7 = 0 or x +1 = 0 =
7 i.e., when x = or x = -1 4
Therefore, the zeroes of 4x? 3x -7 are 7 4
and -1
Now, Sum of zeroes = 7 + (-1) = 3 =
4 4
-(-3) -b
4
a
Product of zeroes = = 7 4 x (-1) -7 с
- 4 a
Hence verified.
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