options: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
problem_activity: Problem 1
Find the product.
$${(x-3)(x^2-2x+3)}$$
Once we find the product, how would we work backwards to get both factors again?
Problem 2
What is the other factor you would multiply
$${x-2}$$
by to get the polynomial
$${x^4-4x^2-5x+10}$$
?


correct_option_index: 0

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