Question

The product of
the veroes the polynomial 5 x2 6x – 11 is
a) - 11 / 5
b) 11 / 5
c) 5 / 11
d) 6 / 5​

Answer 1

Question :

The product of the zeroes of the polynomial 5x² + 6x - 11 is :

a) - 11 / 5

b) 11 / 5

c) 5 / 11

d) 6 / 5

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Given :

• Quadratic Polynomial is 5x² + 6x - 11

To Find :

• Product of the zeroes

Solution :

We're given a quadratic polynomial as 5x² + 6x - 11 . And we've to find out value of its product of zeroes.As we know that,

General form of the quadratic polynomial is ax² + bx + c , and comparing it with the given equation 5x² + 6x - 11. We get,

• a = 5
• b = 6
• c = - 11

Use formula for zeroes of quadratic equation

⇒Product of zeroes = c/a

⇒Product = -11/5

$\therefore$ Product of zeroes is - 11/5

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We can also calculate the value of sum of the zeroes of polynomial.

⇒Sum = -b/a

⇒Sum = -6/5

$\therefore$ Sum of zeroes of polynomial is -6/5

Answer 2

Given :

• Polynomial : 5x² + 6x - 11 = 0

To Find :

We have to find the product of the zeroes.

Solution :

We know the formula of the product of the zeroes.

⇒ Product = c/a

Where,

• a = 5
• b = 6
• c = -11

→ Product of zeroes = -11/5

∴ The correct option is (a).