The factor of the given polynomial, x³ + 2x² + 4x + 8, using the grouping method, is (x² + 4)(x + 2), making option A the right choice.
The process of grouping for polynomial factoring is an extension of the process of identifying common factors. In order to determine the factors of the given polynomial expression, our goal in this case is to identify groups from the common factors. The polynomial expression's term count is decreased to a smaller number of groups. To determine the group of factors, we first divide each phrase in the supplied expression into its factors. We next look for common terms among the factors.
In the question, we are asked to factor the given polynomial, x³ + 2x² + 4x + 8, using the grouping method.
This can be done as follows:
x³ + 2x² + 4x + 8
= (x³ + 2x²) + (4x + 8) {Grouping}
= x²(x + 2) + 4(x + 2) {Taking common}
= (x² + 4)(x + 2) {Taking common}.
Thus, the factor of the given polynomial, x³ + 2x² + 4x + 8, using the grouping method, is (x² + 4)(x + 2), making option A the right choice.
Learn more about factorization at
https://brainly.com/question/9455071
#SPJ9
