Question

16. Find a quadratic polynomial, whose zeroes are - 4 and 3 and verify the relationship between the
zeroes and the coefficients.​

Answer 1

Answer:

quadratic polynomial is x² + x - 12 = 0

Step-by-step explanation:

zeroes of polynomial are -4 and 3

then, sum of zeroes = -4 + 3 = -1

product of zeroes = -4 × 3 = -12

quadratic polynomial = x² - (sum of zeroes)x + product of zeroes = 0

x² - (-1)x + (-12) = 0

x² + x - 12 = 0

verification

sum of zeroes = -b/a

-4 + 3 = -1/1

-1 = -1

product of zeroes = c/a

-4 × 3 = (-12)/1

-12 = -12