Question

What is the zero of the polynomial 2x square-5x-3

Answer 1

Answer:

-1/2 and 3

Step-by-step explanation:

2x² - 5x - 3

sum = -5

product = -6

-6, 1

splitting middle term,

2x² - 6x + x - 3

2x (x-3) + 1( x-3)

= (2x+) (x-3)

for (2x+1)

×= -1/2

for (x-3)

x = 3

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Answer 2

Solution :

⏭ Given:

✏ P(x) = 2$\sf{x^2}$ - 5x - 3

⏭ To Find:

✏ Zeroes of the polynomial

⏭ Calculation:

$\implies \sf \: \red{ p(x) = 2 {x}^{2} - 5x - 3 = 0} \\ \\ \implies \sf \: 2 {x}^{2} - (6 - 1)x - 3 = 0 \\ \\ \implies \sf \: 2 {x}^{2} - 6x + x - 3 = 0 \\ \\ \implies \sf \: 2x(x - 3) + 1(x - 3) = 0 \\ \\ \implies \sf \: (2x + 1)(x - 3) = 0 \\ \\ (1) \sf \: 2x + 1 = 0 \\ \\ \leadsto \sf \: 2x = - 1 \\ \\ \leadsto \boxed{ \sf{ \purple{x = - \frac{1}{2}}}} \: \bigstar \\ \\ (2) \sf \: x - 3 = 0 \\ \\ \leadsto \: \boxed{ \sf{ \orange{x = 3}}} \: \bigstar$

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$\therefore$ Zeroes of the polynomial are -1/2 and 3