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Grade 11 Math Help Please!

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For what integer values of k can each polynomial be factored? Explain!

a) x(squared) + kx + 4

b) x(squared) + 4x + k

c) x(squared) + kx + k

I fucking suck at math, how do I do this?!
 
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I dont really remember polynomial's but do they have a range of numbers that work for each or just a single solution? might be able to help if you could anwser.
 
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That's the first one done for you.

All you need to do is find out what actually works in factorisation. Polynomials of the 2nd degree (i.e. quadratics) are rather easy; they're composed as Ax^2 + Bx + C. Notice what I've done in my solution, I've found out what AC and B are respectively, and then found values for k which suit the method of factorisation.

Use similar methods for the other two.
 
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