Question

Write one of the zeroes of the polynomial 2x2 + 9x - 5.

Answer 1

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Answer 2

$\huge\sf\pink{Answer}$

☞ One of the zeros of polynomial P(x) can be (-5) or 1/2.

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$\huge\sf\blue{Given}$

✭ P(x) = 2x²+9x-5

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$\huge\sf\gray{To\:Find}$

☆ Factorise the above expression.

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$\huge\sf\purple{Steps}$

➝ 2x²+10x-x-5 = 0

➝ (2x²+10x)+(-x-5) = 0

➝ 2x(x+5) -1(x+5) = 0

➝ (x+5)(2x-1) = 0

Either x+5 = 0

$\sf\orange{\dashrightarrow x = (-5)}$

Either (2x-1) = 0

➢ 2x = 1

$\sf\orange{\dashrightarrow x = 1/2}$

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Some important formulas:

a³-b³ = (a-b)(a²+b²+ab)

(a+b)² = (a-b)²+4ab

(a-b)² = (a+b)²-4ab

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