Question

Write a quadratic polynomial whose zeroes are -5 and 4.​

Answer 1

Answer:

sum of zero =-b/a

a+b = -5/1

b=-5

a=1

product of zero =c/a. {a=1,b=-5,c=4}

a.b=4/1

c=4

AS comparied with quadratic eq. ax2+bx+c=0

x2-5x+4=0

Answer 2

Answer:

$x^{2} + x - 20$

Step-by-step explanation:

Given:- Zeroes of the polynomial are -5 and 4.

To Find:- quadratic polynomial whose zeroes are -5 and 4.

Solution:-

As we know,

Quadratic polynomial = $x^{2}$ - (sum of zeroes)$x^{}$ + (product of zeroes)

Now, Sum of zeroes -5 and 4 = -5 + 4 = -1

Product of zeroes -5 and 4 = -5 × 4 = -20

∴ Quadratic polynomial = $x^{2}$ - $( -1 )x^{}$ + $( -20 )^{}$

                                       = $x^{2} + x - 20$

∴ Quadratic polynomial whose zeroes are -5 and 4 is  $x^{2} + x - 20$.

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