Which shows one way to determine the factors of x3 11x2 3x 33 by grouping?

Answer 1

To factor the polynomial (x^3 + 11x^2 + 3x - 33) by grouping, first, rearrange the terms as ((x^3 + 11x^2) + (3x - 33)). Next, factor out the common terms from each group: from the first group, factor out (x^2), resulting in (x^2(x + 11)), and from the second group, factor out (3), resulting in (3(x - 11)). Now, rewrite the expression as (x^2(x + 11) + 3(x - 11)), and look for a common binomial factor to complete the factorization.