Question

what are the factors of x²+ 3x- 10​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge{\sf{\gray{ AnswEr-:}}}$

• $\underline{\boxed {\mathrm {\red{ Factors \:are\:-:\bf{(x - 2) ( x + 5)} }}}}$

Explanation-:

• Find factors of -: x² + 3x - 10 .

$\dag{\mathrm { Solution \:of\: Question-:}}\\\\\longrightarrow {\mathrm { x^{2} +3x - 10 }}\\\\\sf{ By\:Using \:Sum-\:Product \:pattern-:}\\\\\longrightarrow {\mathrm { x^{2} +\purple{3x} - 10 }}\\\\ \longrightarrow {\mathrm { x^{2} \purple {-2x + 5x} - 10 }}\\\\ \sf{ Now\:Finding \:Common-\:Factors \:from\:each\:term-:}\\\\\longrightarrow {\mathrm { x^{2} - 2x + 5x - 10 }}\\\\\sf{ By\:Taking\:x\:as \:common\:in\:First \:term-:}\\\\ \longrightarrow {\mathrm { \purple {x^{2} - 2x} + 5x -10 }}\\\\\longrightarrow {\mathrm { \purple {x(x -2)} + 5 x - 10 }}\\\\ \sf{ By\:Taking\:5\:as \:common\:in\:Second \:term-:}\\\\\longrightarrow {\mathrm { x(x -2) + \purple{ 5 x - 10} }}\\\\\longrightarrow {\mathrm { x(x - 2) + \purple{ 5 ( x - 2)} }}\\\\\sf{ Now,\:Rewrite \:the\:factored\:term\:\:-:}\\\\\longrightarrow {\mathrm { x(x - 2) + 5 ( x - 2) }}\\\\\longrightarrow {\mathrm { \purple{(x + 5) ( x -2 )} }}$

Hence ,

$\underline{\boxed {\mathrm {\blue{ Factors \:are\:-:\bf{(x - 2) ( x + 5)} }}}}$

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