exam Maths Puzzle Numerical Ability

I have a couple more problems today I need steps and solutions for if anyone would be so kind.

Factor each polynomial completely, given that the binomial following it is a factor of the polynomial.

x� + 2x� - 5x - 6, x + 3

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exam Other Question

I need assistance proving the basis theorem. Here is the theorem. "Let H be a p dimensional subspace of R^n. Any linearly independent set of p vectors of H is a basis for H. An I am trying to convert these words into an equation:

Find three consecutive odd integers such that the sum of three times the first and twice the second is 26 more than three times the third ?

Can you please help?
Thank you.