Question

find the quadratic polynomial the sum and product of whose zeroes are -4 and -2 respectively​

Answer 1

Answer:

hey mate here is your answer

Step-by-step explanation:

let alpha be -4 and beta be -2

now$x^{2} - (\alpha +\beta) +(\alpha \beta )$

$=x^{2} -(-4)x+ (-2)$

$=x^{2} + 4x-2$

hope this may help you

mark me brainlest

Answer 2

Answer:

Sum of the quad. Polynomial= -4

Let , the quad.polynomial be ax2+ bx+ c.

It's zeros be alpha and beta.

Alpha +beta= -4 = -b/a

Alpha*beta = -2 = c/@

If a 1

b 4

c 2

So,one quad. Polynomial which fits the given conditions is X2+4x+2.

K(X2+4x+2)

Let us look at cubic polynomial

Do you think a similar relation holds between the zeros of a cubic polynomial and it's cofficient?

Let's us consider p(X)= 2x3- 6x2- 14x+ 8.

Sum of zeros -(-6)/2

Product of zeros 8/2

There is one more relationship here.