2
QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 2 • Mathematics III

If a polynomial has four terms, 3 x cubed plus 5 x plus 6 x squared plus 10 , which factoring method can be considered?

Answer
A
perfect-square trinomial
B
difference of squares
C
sum of cubes
D
factor by grouping

Explanation

The polynomial has four terms, so factor by grouping is a method to consider. Group the terms as (3x³ + 5x) + (6x² + 10), then factor each group: x(3x² + 5) + 2(3x² + 5). The shared binomial gives (x + 2)(3x² + 5), so the correct choice is factor by grouping.

AI-written and checked against the verified answer.

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