Question

A quadratic polynomial, whose zeros are -4 and -5, is *



1) x²-9x + 20

2) x² + 9x + 20

3) x²-9x- 20

4) x² + 9x- 20

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Answer 1

Answer:-

Your Answer is Option 2) x² + 9x + 20.

Explanation:-

Given:-

• A quadratic polynomial.
• Zeroes of the polynomial are -4 and -5.

ToFind:-

• The polynomial.

Concepts Used:-

Every Quadratic polynomial is in the form of,

x²-(Sum of the zeroes)x+Product of the zeroes.

So Now,

Here the zeroes are -4 and -5 Therefore,

↦ Sum of zeroes,

= (-4) + (-5).

= -4 - 5.

= -9.

So Sum of the zereos is -9.

↦ Product of zeroes,

= (-4) × (-5).

= (-4)(-5).

= 20.

So product of the zereos is 20.

Therefore,

The polynomial would be,

x² - (sum of zeroes)x + product of zeroes.

= x² - (-9)x + (20).

= x² + 9x + 20.

So The Required Polynomial Is x²+9x+20.

And Hence the final answer is Option (2).

Answer 2

Answer:

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