exam Maths Puzzle Numerical Ability

factor by grouping

4x^3 - x^2 - 12x + 3

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exam Other Question

For the quadratic equation x^2 + kx +7 =0, if 3+sqrt2 is a root, what is the value of k ?
I said 6 but my teacher marked it wrong. Please help me :)
Simplify the following expressions.

3x^6/x^3

a) 3x^3 b)27x^3 c)9x d)3x^9