find the zeros of polynomial 2 x square - 11 x + 15 and verify the relation between the zeros and the coefficient
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Answer: f(x) = 2x2 ˗ 11x + 15
= 2x2 ˗ (6x + 5x) + 15
= 2x2 ˗ 6x ˗ 5x + 15
= 2x (x ˗ 3) ˗ 5 (x ˗ 3)
= (2x ˗ 5) (x ˗ 3)
∴ f(x) = 0 ⇒ (2x ˗ 5) (x ˗ 3) = 0
⇒ 2x ˗ 5= 0 or x ˗ 3 = 0
⇒ x = 5/ 2 or x = 3
So, the zeroes of f(x) are 5/ 2 and 3.
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