Given :
The polynomial
f(x) =2ˣ² - 5x + 3
Find :
zeroes of the polynomial f(x)= 2x² - 5x + 3
Solution :
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.
