Question

given that the zeros of cubic polynomial x³-6x²+3x+10 are the form of a,a+b,a+2b for some real numbers a and b .find the value of a and b as well as the zero of given polynomial .​

Answer 1

Answer:-

If x = a

If x = a x= -1

If x = a x= -1f(x) = x^3-6x^2+3x+10

f(-1)= -1-3-6+10

f(-1)= -1-3-6+10f(-1)=0

f(-1)= -1-3-6+10f(-1)=0a=0

f(-1)= -1-3-6+10f(-1)=0a=0 a+b=0

f(-1)= -1-3-6+10f(-1)=0a=0 a+b=0 b= 1

a=-1

b= 1

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