Suppose p(x) = x² + 6x + 4, q(x) = 6x³ - 4x + 1. Write the expression (p + q)(x) as a sum of terms, each of which is a constant times a power of x. A) 6x³ + x² + 2x + 5 B) 6x³ + x² + 2x - 5 C) 6x³ + x² - 2x + 5 D) 6x³ + x² - 2x - 5

Question

Quizplus · Accepted Answer

Adding the polynomials p(x) and q(x) involves combining like terms. The unique terms from each polynomial (the terms with the superscript and subscript notation) are simply added together since they do not have like terms in the other polynomial. The linear and constant terms are combined by addition: (6x + (-4x)) = 2x and (4 + 1) = 5, resulting in the expression 6x³ + x² + 2x + 5.

Suppose P(x) = X2 + 6x + 4, Q(x) =

Suppose P(x) = X² + 6x + 4, Q(x) =