Find the zeroes of the polynomial f(x)= 2x² - 5x + 3 and verify the relationship between the zeroes and the coefficients.

The polynomial

f(x) =2ˣ² - 5x + 3

zeroes of the polynomial f(x)= 2x² - 5x + 3

By factorizing we have ,

→ 2x² - 5x + 3

→2x² -2x - 3x + 3

→2x(x-1)-3(x-1)

→(2x-3)(x-1)

Now the zeroes are

→ 2x - 3 = 0 and → x - 1 = 0

→ x = 3/2 and → x = 1

Verification of relation

Sum of the zeroes = -b/a

⇒ 3/2 + 1 = -(-5/2)

⇒ (3+2)/2 = 5/2

⇒ 5/2 = 5/2

Product of the zeroes = c/a

⇒ 3/2×1 = 3/2

⇒ 3/2 = 3/2

Verified

I hope it will help you.

Regards.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

thus, the first answer choice, y = sec x, is the correct one