Question

factor the polynomial by grouping.\\(x^2 + 7x + 2x + 14\\)

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: \((x^{2}+7x)+(2x + 14)\)

Step2: Factor out the GCF from each group

Factor out \(x\) from the first group and \(2\) from the second group: \(x(x + 7)+2(x + 7)\)

Step3: Factor out the common binomial factor

Factor out \((x + 7)\) from both terms: \((x + 7)(x + 2)\)

Answer:

\((x + 7)(x + 2)\)