find the quadratic polynomial where sum and product of the zeroes -8/3 and 4/3 respectively
Answers
Answer:
☆The possible values of the variable for which the polynomial becomes zero are called its zeros.
☆A quadratic polynomial can have atmost two zeros.
☆The general form of a quadratic polynomial is given as ; ax² + bx + c.
☆If a and are the zeros of the quadratic polynomial ax² + bx + c , then ;
• Sum of zeros, (a + B) = -b/a
★Product of zeros, (a) = c/a
If a and are the zeros of a quadratic polynomial, then that quadratic polynomial is given as: k.[x² - (a + B)x+ aB ], k * 0.
- Given Sum of zeros, (a + B) = -8/3 Product of zeros, (a) = 4/3
• To find : A quadratic polynomial
We know that, If a and I are the zeros of a quadratic
polynomial, then that quadratic polynomial is given as: k.[x² - (a + B)x+ aß], k0.
Thus,
Required quadratic polynomial will be given as:
If k = 1, then the quadratic polynomial will be: x² - 8/3x + 4/3.
Hence, Required quadratic polynomial is :