find the zero of the quadratic polynomial 2x^2+5x-12 and verify relationship between zeroes and the coefficient
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answer dear
Step-by-step explanation:
Find the zeros of the polynomial 2x2+5x-12 and verify the relationship between its zeros and coefficients. ... So, the zeros of f(x) are -4and32. Sum of the zeros = (-4+32)=-52=-(coefficient of x)(coefficient of x2), product of the zeros = (-4)×32=-122=constant term(coefficient of x2).
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Step-by-step explanation:
2x²+5x-12=0
2x²+8x-3x-12=0
2x(X+4)-3(X+4)=0
(X+4)(2x-3)=0
X=-4,3/2
sum of the roots =-4+3/2=-5/2
=-b/a
product of the roots=-4×3/2=-6
=C/a
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