Question

FIND THE ZEROES OF THE QUADRATIC POLYNOMIAL X^2+5X+6 AND VERIFY THE RELATIONSHIP BETWEEN THE ZERO AND THE COEFFICIENT ​

Answer 1

Answer:

x=-3 ,x=-2

Step-by-step explanation:

relationship verified

Answer 2

Answer:

The zeroes of the quadratic polynomial x² + 5x + 6 are -3, -2 and the sum and product of zeroes are verified.

Step-by-step explanation:

Given :

x² + 5x + 6

To find :

Zeroes of the quadratic polynomial and verify the relationship between zero and the coefficient.

Solution :-

⇒ x² + 5x + 6

⇒ x² + 2x + 3x + 6

⇒ x(x + 2) + 3(x + 2)

⇒ (x + 3)(x + 2)

➤ x = -3 , -2

∴ The zeroes of the quadratic polynomial x² + 5x + 6 are -3, -2

Verification :

✮ Sum of the zeroes α + β = (-b/a)

• -3 + (-2) = -5/1
• -5 = -5

✮ Product of the zeroes α.β = (c/a)

• -3 × (-2) = 6/1
• 6 = 6