find a quadratic polynomial whose zeroes are 2 and -6 Verify the relation between coefficients and zeros of the - Maths - Polynomials

Question

find a quadratic polynomial whose zeroes are 2 and -6 Verify the
relation between coefficients and zeros of the polynomial (no
links)

Shruti Tyagi · Accepted Answer

Dear student,

Zeroes of quadratic polynomial are 2, -6sum of zeroes=2+(-6)=-4product of zeroes=2×-6=-12The general form of quadratic polynomial is x2-(sum of zeroes)x+product of zeroes⇒x2-(-4)x+(-12)⇒x2+4x-12 Relationship:-sum of zeroes=-41=-(coefficient of x)coefficient of x2product of zeroes=-121=constant termcoefficient of x2
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find a quadratic polynomial whose zeroes are 2 and -6. Verify the relation between coefficients and zeros of the polynomial..(no links)