Question

27. If 2 and -3 are zeroes of a quadratic polynomial, then it is​

Answer 1

Answer:

The polynomial is

Sum of roots = - 1

Product of roots = - 6

${x}^{2} + x - 6$

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Answer 2

Solution

Given :-

• 2 & -3 are zeroes a polynomial equation,

Find :-

• Polynomial equation,

Explanation

Using Formula

★ x² - (Sum of zeroes )x + (product of zeroes) = 0

So, Now first calculate ,

➡ Sum of zeroes = -3 + 2

➡ Sum of zeroes = -1

And,

➡ Product of zeroes = -3 × 2

➡ Product of zeroes = -6

Then, keep in equ.

➡ x² - (-1)x + (-6) = 0

➡x² + x - 6 = 0

Hence

• Polynomial equation, be (x² + x - 6 = 0

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