find the zero of the quadratic polynomial 6x^2-7x-3,and verify the relationship between the zerosand the coefficient
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Given:
- A quadratic polynomial is given to us.
- The polynomial is 6x²-7x-3.
To Find:
- The zeroes of the polynomial and verify the relationship between the zeroes and coefficients.
Answer:
The given Quadratic polynomial is 6x²-7x-3 .
When we equate it with 0 it becomes quadratic equation.
=> 6x² -7x - 3 = 0.
=> 6x² - 9x + 2x -3 = 0.
=> 3x(2x-3) +1(2x-3) = 0.
=> (3x+1)(2x-3) = 0.
☞ x = -1/3 , 3/2.
Sum of zeroes = -1/3 + 3/2 = -2+9/6 = 7/6 = -b/a.
Product of zeroes = -1/3 × 3/2 = -3/6 = c/a .
Hence verfied.
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