Question

The product of zeroes of the quadratic polynomial 2x²-3x-5c is 1/2 what is the value of c Options: -5 5 1/5 -1/5

Answer 1

Answer:

Option d) -1/5

Step-by-step explanation:

p(x) = 2x² - 3x - 5c

One of the zero is 1/2. Means x = 1/2

p(1/2) = 2(1/2)² - 3(1/2) - 5c = 0

p(1/2) = 2(1/4) - 3/2 - 5c = 0

p(1/2) = 1/2 - 3/2 - 5c = 0

p(1/2) = 1/2 - 3/2 = 5c

p(1/2) = -2/2 = 5c

p(1/2) = -1 = 5c

p(1/2) = c = -1/5

Hence, the value of c is -1/5.

Assume that the other zero is x.

Sum of zeroes = -b/a

1/2 + x = 3/2

x = 3/2 - 1/2

x = 2/2

x = 1

Product of zeroes = c/a

1/2(x) = -5/2 × (-1/5)

x/2 = 1/2

x = 2/2

x = 1

Hence, the zeros are 1/2 and 1.