exam Maths Puzzle Numerical Ability

(2x^3+3x^2-4)+(5x^2+6x-7)

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exam Other Question

Prove that, if three vectors are linearly independent, then any two of the vectors are also linearly independent. HINT: Try proof by contradiction. Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.