Question

2. Find the zeroes of the following quadratic polynomial and verify the
relationship between the zeroes and their coefficients:
p(x) = X2 – 5x - 6​

Answer 1

Step-by-step explanation:

Zeroes are - 1 and 6

Here is your answer

Answer 2

AnswEr :-

• Zeroes of the polynomial are -1 and 6 respectively.

Given :-

• A quadratic equation as x² - 5x - 6

To Find :-

• Zeroes of quadratic equation.

Solution:-

☯︎ x² - 5x - 6

➪ x² - 6x + x - 6

➪ x (x - 6) + 1 (x - 6)

➪ (x + 1) (x - 6)

☯︎ x + 1 = 0

➪ x = -1

☯︎ x - 6 = 0

➪ x = 6

☢︎︎ Zeroes of the polynomial are 6 and -1

respectively.

☯︎ Sum of zeroes = 6 + (-1) = 5

☯︎ Product of zeroes = 6 × (-1) = -6

Verification :-

Here

• a = 1

• b = -5

• c = -6

☯︎ Sum of zeroes = -b/a

➪ -(-5)/1

➪ 5/1

➪ 5

☯︎ Product of zeroes = c/a

➪ -6/1

➪ -6

Hence, Verified.

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