Question

one of the zeros of the polynomial 2 X square + 4 x minus 16 is​

Answer 1

⠀⠀⠀⠀⠀${ \huge \bf{ \mid{ \overline{ \underline{ \pink{QUESTION}}}} \mid}} \longrightarrow</p><p>$

find the zeros of the polynomial 2 X square + 4 x minus 16.

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⠀⠀⠀⠀⠀⠀$\huge{ \underline{ \red{ \bold{ \underline{ \bf{AnSweR }}}}}}$

⠀⠀$\large\underline{ \underline{ \blue{ \bold {Given}}}}$

$\bf \:p(x) =2 {x}^{2} + 4x - 16$

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⠀⠀$\large\underline{ \underline{ \blue{ \bold {To \:Find}}}}$

we need to find the zeros of given polynomial.

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⠀⠀⠀⠀⠀$\huge\underline{ \underline{ \green{ \bold{solution}}}}$

➩⠀⠀⠀⠀$\bf \:2 {x}^{2} + 4x - 16 = 0$

⠀⠀⠀⠀⠀ Divide both side by 2

➩⠀⠀⠀$\bf \: {x}^{2} + 2x - 8=0$

➩⠀⠀⠀⠀$\bf \: {x}^{2}+4x - 2x - 8=0$

➩⠀⠀⠀⠀$\bf \: x(x+4)-2(x+4)$

➩⠀⠀⠀⠀$\bf \:( x+4)(x-2)$

➩⠀⠀⠀⠀$\bf \: x+4=0$

➩⠀⠀⠀⠀$\bf \: x-2=0$

⠀⠀⠀⠀⠀⠀⠀⠀$\large{\underline{\boxed{\blue{ \bf{x=- 4}}}}}$

⠀⠀⠀⠀⠀⠀⠀⠀$\large{\underline{\boxed{\blue{ \bf{ x=2}}}}}$

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