Question

Find the sum of product of roots of quadratic polynom
ial of X2 - 5 + 6

Answer 1

Answer:

ANSWER

We know that for a quadratic equation ax

2

+bx+c=0, the sum of the roots is −

a

b

and the product of the roots is

a

c

.

Here, the given quadratic equation x

2

−5x+8=0 is in the form ax

2

+bx+c=0 where a=1,b=−5 and c=8.

The sum of the roots is −

a

b

that is:

−

a

b

=−

1

(−5)

=5

The product of the roots is

a

c

that is:

a

c

=

1

8

=8

Hence, sum of the roots is 5 and the product of the roots is 8.

Answer 2

Answer :-

• Sum of zeroes = 5
• Product of zeroes = 6

Given :-

• A quadratic polynomial x² - 5x + 6.

To Find :-

• Sum and product of zeroes of the polynomial.

Solution :-

Firstly we'll find the zeroes of the polynomial.

Write the equation first

• x² - 5x + 6

Split the middle term

• x² - 3x - 2x + 6

Take common

• x (x - 3) - 2 (x - 3)

Arrange them together

• (x - 2) (x - 3)

Equate with 0

• x - 2 = 0

→ x = 2

• x - 3 = 0

→ x = 3

_________________

Sum of zeroes :-

⇒ 2 + 3

⇒ 5

Product of zeroes :-

⇒ 2 × 3

⇒ 6

Hence, the sum and product of zeroes are 5 and 6 respectively.