Question

factor the given trinomial. if the trinomial cannot be factored, indicate
ot factorable\.

\\4d^5 - 16d^4 + 12d^3\\

Explanation:

Find the greatest common factor

Using the Factoring Polynomials by GCF knowledge point

$$ \text{GCF}(4d^5, -16d^4, 12d^3) = 4d^3 $$

Factor out the GCF

Using the Factoring Polynomials by GCF knowledge point

$$ 4d^5 - 16d^4 + 12d^3 = 4d^3(d^2 - 4d + 3) $$

Factor the remaining trinomial

Using the Factoring Trinomials knowledge point

$$
LATEXBLOCK0
$$

Write the fully factored expression

Using the Factoring Trinomials knowledge point

$$ 4d^3(d - 3)(d - 1) $$

Answer:

\(4d^3(d - 3)(d - 1)\)