Question

factor the polynomial by grouping.\\(x^2 - 3x + x - 3\\)

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: $(x^2 - 3x) + (x - 3)$

Step2: Factor out GCF from each group

Factor out $x$ from the first group and $1$ from the second group: $x(x - 3) + 1(x - 3)$

Step3: Factor out the common binomial

Factor out $(x - 3)$: $(x - 3)(x + 1)$

Answer:

$(x - 3)(x + 1)$