Question

find the quadratic polynomial given that product and sum of its zeros are -7, -6​

Answer 1

Step-by-step explanation:

Given -

• Sum of zeroes = -7
• product of zeroes = -6

To Find -

• A quadratic polynomial

Now,

As we know that :-

• α + β = -b/a

➳ -7/1 = -b/a .... (i)

And

• αβ = c/a

➳ -6/1 = c/a ..... (ii)

Now,

From (i) and (ii), we get :-

a = 1

b = 7

c = -6

As we know that :-

For a quadratic polynomial :-

• ax² + bx + c

➳ (1)x² + (7)x + (-6)

➳ x² + 7x - 6

Hence,

The quadratic polynomial is x² + 7x - 6.