Question

Find the zeroes of the quadratic polynomial x2 – x - 20 and verify the relationship between the zeroes and the coefficients.

Answer 1

Answer:

5 and -4 are the zeroes of the quadratic polynomial x² - x - 20.

Step-by-step explanation:

x² - x - 20

x² - 5x + 4x - 20

x( x - 5) + 4 ( x - 5)

(x - 5)(x + 4)

x - 5 = 0

x = 5

x + 4 = 0

x = -4

5 and -4 are the zeroes of the quadratic polynomial x² - x - 20.

Verification:

Sum of zeroes = -b/a

5 + (-4) = -(-1)/1

5 - 4 = 1/1

1 = 1

Product of zeroes = c/a

5 x (-4) = -20/1

-20 = -20

Hence, verified.

I hope this answer is helpful for you.