Question

write a quadratic polynomial whose zeros are 5 and 2

Answer 1

Answer

Sum of zeros 5+2 = 7

Product of zeros = 5×2= 6

* therefore the polynomial is x2 - ( alfa + bhita ) x + alfa. Bhita

Now = x2 - (7) x + 6

X2 - 7x - 6

Proved

Step-by-step explanation:

Answer 2

The quadratic equation having roots 5 and 2 is x²-7x+10.

Given,

A quadratic equation whose zeros are 5 and 2.

To Find,

The quadratic equation.

Solution,

The given zeroes of the quadratic equation are 5 and 2.

Now, the formula used to find the quadratic equation when its roots are given is

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

So,

Sum of zeroes = 5+2 = 7

Product of zeroes = 5(2) = 10

Now, substituting the values

x²-(7)x+10

Hence, the quadratic equation having roots 5 and 2 is x²-7x+10.

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