exam Maths Puzzle Numerical Ability

I HAVE A QUESTION ON SOLVING BY FACTORING((( X^2+6X+8=0 )))

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exam Other Question

How do I start a proof with no other information but the given statement? Any guidance or references to other sites would be helpful.

Thanks Which of the follwoing pairs of points is indicative of zero per the Intermediate Value Theorem?
a. (0,0) & (2, -3)
b. (-2, -3) & (2, -3)
c. (2, 0) & (0, -3)
d. (3, -4) & (-6, 12)