Question

Find the quadratic polynomial whose zeros are 2 and - 6. Verify the
relation between the coefficients and the zeros of the polynomial.​

Answer 1

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$\tt\it\bf\huge\it\bm{\mathcal{\fcolorbox{blue}{yellow}{\red{ANSWER==>}}}}$

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quadratic equation:-

x²-(sum of zeros)x+product of zeros=0

=>x²-(-4)x+(-12)=0

=>x²+4x-12=0

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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.