exam Maths Puzzle Numerical Ability

Directions: Factor the following trinomials

problem #54

16x^2+40xy+25y^2

Directions: Factor each expression
Problem #60

a^2(b-c)-16b^2(b-c)

Directions: Problem # 64

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exam Other Question

Solve for x: f(x)=2x^3+3x^2-8x+3=0
How can I find all possible roots and for this polynomial. How can I sketch a graph of this?
My instructor also uses synthetic divsion after he finds the first root and factor. Factor completely:
16x^2 + 24xy + 9y^2

I am trying to figure this out, but can not remember the steps in order to do so, could someone help me out please? Thank you