find the zero of polynomial 2x^2+7x-4 is_ a) 2 b)1/2 c)-1/2 d)-2
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2x² + 7x - 4
2x² - x + 8x - 4
x(2x - 1) + 4(2x - 1)
(x + 4) (2x - 1) are factors of the given polynomial
For zeroes
x+4=0
x = -4
2x-1=0
x = ½
Hence, the zeroes are -4 and 1/2.
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Answered by
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Answer:
b) 1/2
Step-by-step explanation:
2x² + 7x - 4 = 0
⇒ 2x² - x + 8x - 4 = 0
⇒ (2x² - x) + (8x - 4) = 0
⇒x(2x - 1) + 4(2x - 1) = 0
⇒ (2x - 1)(x + 4) = 0
⇒ x = 1/2 or x = -4
Hence, the correct option is b) 1/2
More things to know:-
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- a² - b² = (a + b)(a - b)
- (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2 ca
= a² + b² + c² + 2(ab + bc + ca)
- (a + b)³ = a³ + b³ + 3ab(a + b)
= a³ + b³ + 3a²b + 3ab²
- (a - b)³ = a³ - b³ - 3ab(a - b)
= a³ - b³ - 3a²b + 3ab²
- a³ + b³ = (a + b)(a² - ab + b²)
- a³ - b³ = (a - b)(a² + ab + b²)
- a³+b³ +c³- 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)
- (x + p)(x + q) = x² + (p + q)x + pq
I hope that this helped
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