Question

Find a quadratic polynomial whose zeroes are 4 and -5.

Answer 1

$\mathcal{\huge{\underline{\purple{Question:-}}}}$

Find a quadratic polynomial whose zeros are 4 and - 5.

__________________________

Given :-

• Zeros of a quadratic polynomial as 4 and - 5

To Find :-

• The quadratic polynomial

__________________________

$\mathcal{\huge{\underline{\purple{Solution:-}}}}$

• Sum of zeros = 4 + (-5)

➪ 4 - 5

➪ - 1

Hence, sum of zeros is - 1.

• Product of zeros = 4 × (-5)

➪ 4 × (-5)

➪ - 20

Hence, product of zeros is - 20.

Formula of quadratic polynomial

x² - (sum of zeros)x + product of zeros

➪ x² - (-1)x + (-20)

➪ x² + x - 20

Hence, the quadratic polynomial is x² + x - 20

__________________________

Answer 2

Answer :-

x² + x - 20

_____________________

Given :-

• Zeroes of quadratic polynomial as 4 and - 5.

To Find :-

• The quadric polynomial.

_____________________

Solution :-

Sum of zeroes :-

4 + (- 5)

=> 4 - 5

=> - 1

Product of zeroes :-

4 × (- 5)

=> - 20

Formula of quadratic polynomial is :-

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

=> x² - (- 1)x + (- 20)

=> x² + x - 20

_____________________