sum and product of zero of p(x)=2(x^2-3)+x
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p(x)=2(x^2-3)+x
p(x)=2x²-6+x
p(x)=2x²+x-6
Splitting the middle term
2x²+4x-3x-6=0
2x(x+2)-2(x+2)=0
(x+2)(2x-2)=0
x+2=0 =>x=-2
2x-2=0 =>x=1
The zeroes of the polynomial p(x) are -2 and 1
Sum of the zeros of the polynomials is -2+1= -1
Product of the zeroes of the polynomial is -2×1=-2
p(x)=2(x^2-3)+x
p(x)=2x²-6+x
p(x)=2x²+x-6
Splitting the middle term
2x²+4x-3x-6=0
2x(x+2)-2(x+2)=0
(x+2)(2x-2)=0
x+2=0 =>x=-2
2x-2=0 =>x=1
The zeroes of the polynomial p(x) are -2 and 1
Sum of the zeros of the polynomials is -2+1= -1
Product of the zeroes of the polynomial is -2×1=-2
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