Question

Write the quadratic polynomial whose zeroes are -1/2and 2/3

Answer 1

Answer:

Hey Mate!!

If a and B are the zeroes of a polynomial, the polynomial is given by:

x^2 - (a + B)x + aB

••> x^2 - (-1/2 + 2/3)x + -1/2 × 2/3

••> x^2 - {(-3 + 4)/6}x + (-2/6)

••> x^2 - 1/6x - 2/6

••> 6x^2 - x - 2 [on multiplying by 6]