Find the value of the polynomial p(x) = x^3 – 3x^2 – 2x + 6 at x= root 2 .
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Answered by
6
p(x)=x³-3x²-2x+6
x=✓2
✓2³-3(✓2)²-2✓2)+6
2-3(2)-2✓2+6
2-6-2✓2+6
-5+6-2✓2
-1-2✓2
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Answered by
1
Answer:
0
Step-by-step explanation:
p(root2)=(root2)^3-3*(root2)^2-2*root2+6
=2root2-3*2-2*root2+6
=2root2-6-2root2+6
=0
root2 is also the factor of the polynomial.
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