Find the product of (x + 2)(x² - 3x + 7).
[tex] \large\sf{ (x + 2)(x^2 - 3x + 7) = {\green{x^3 - x^2 + x + 14}} } [/tex]
» Using Distributive Property of Multiplication, distribute and multiply the term/s in one factor to each of the terms in the other factor.
[tex] \begin{array}{|l} \large\sf{ (x + 2)(x^2 - 3x + 7) } \\\\ \sf{= (x)(x^2 - 3x + 7) + (2)(x^2 - 3x + 7)} \\ \sf{= [(x)(x^2) + (x)(-3x) + (x)(7)] +[(2)(x^2) + (2)(-3x) + (2)(7)] } \\ \sf{= (x^3 - 3x + 7x) + (2x^2 - 6x + 14) } \\ \sf{= x^3 + (-3x^2 + 2x^2) + (7x - 6x) + 14 } \\ \underline{\Large{\sf{= {\green{x^3 - x^2 + x + 14}}}} } \end{array} [/tex]
#BrainlyChallenge2022
