Question

FIND THE QUADRATIC POLYNIMIAL WHOSE ZEROS 2 AND -6 VERIFY THE RELATION BETWEEN THE COEFFICIENT AND THE ZEROS OF THE POLYNOMIAL​

Answer 1

Answer:

x^2 +4x - 12

Step-by-step explanation:

or you can use this method

x=2 x= -6

x - 2 =0 x+6=0

now multiply them

Answer 2

AnsWer:-

↝α+β=2+(-6)

↝α+β=-4

↝αβ=2×-6

↝αβ=-12

✪Using the Formula

→k[x²-(α+β)x+αβ]

↝k[x²-(-4)x+(-12)]

↝k[x²+4x-12]

•Let k=1•

↝1[x²+4x-12]

☞x²+4x-12 is the Polynomial.

*Since The Zeros Form a Polynomial,It Verifies the Relation b/w coefficients and the zeros of the polynomial.*