Sumali sa IDNStudy.com at tuklasin ang komunidad ng pagbabahagi ng kaalaman. Ang aming platform ng tanong at sagot ay idinisenyo upang magbigay ng mabilis at eksaktong sagot sa lahat ng iyong mga tanong.

Find the product of (x+2) (x²-3×+7) using either the boxes or algebraic method.Show your complete solution and box the final answer . ​

Sagot :

PROBLEM:

Find the product of (x + 2)(x² - 3x + 7).

ANSWER:

[tex] \large\sf{ (x + 2)(x^2 - 3x + 7) = {\green{x^3 - x^2 + x + 14}} } [/tex]

SOLUTION:

» 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