Question

nd the quadratic polynomial whose zeros are 2 and –6. Verify the relationship between the coefficients and the zeros of the polynomial.

Answer 1

Answer:

Hey mate heres your answer

Step-by-step explanation:

Sum of zeros = 2

Product of zeros = - 6

X^3 - ( a + b)x + ab

X^3 - 2x + (-6)

Therefore the quadratic polynomial is x^3 - 2x - 6

Plz mark my answer as the brainliest

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.*