Math, asked by lilartist142, 11 months ago

. Find the value of the polynomial 3x3 – 4x2 + 7x – 5 , when x = 3 and x = -3

Answers

Answered by MrChauhan96
31

\bf{\underline{\underline{Question}}}

\:

\small\tt{Find\:the\:value\:of\:the\: polynomial}\small\tt{f(x)\:=\:3x^{3}-4x^{2}+7x-5}

\small\tt{When\:x\:=\:(3)\:and\:(-3)}

\:

\bf{\underline{\underline{Solution}}}

\:

\small\tt{f(x)\:=\:3x^{3}-4x^{2}+7x-5}

\:

\small\bf{Case\:(i)}

\:

\small\tt{f(3)\:=\:3(3)^{3}-4(3)^{2}+7(3)-5}

\:

\small\tt{f(3)\:=\:81-36+21-5}

\:

\small\tt{f(3)\:=\:61}

\:

\small\bf{Case\:(ii)}

\:

\small\tt{f(-3)\:=\:3(-3)^{3}-4(-3)^{2}+7(-3)-5}

\:

\small\tt{f(-3)\:=\: -81-36-21-5}

\:

\small\tt{f(-3)\:=\: -143}

\:

\bf{\underline{\underline{Thanks}}}

Answered by PURNA9239
29

Answer:

3 {(x)}^{3}  - 4 {(x)}^{2}  + 7x - 5 \\  3{(3)}^{3}  - 4 {(3)}^{2}   +  7(3) - 5 \\ 3(27) - 4(9)  +  21 - 5 \\ 81 - 36 + 21 - 5 \\ 45 + 21 - 5 \\ 66 - 5 \\  \\  = 61

 3{(x)}^{3}  - 4 {(x)}^{2}   +  7(x)  - 5 \\ 3 {( - 3)}^{3}  - 4 {( - 3)}^{2}  + 7( - 3) - 5 \\ 3( - 27) - 4(9)  - 21 - 5 \\   - 81 - 36 - 21 - 5 \\  - 117 - 21 - 5 \\  - 138 - 5 \\   \\  =  - 143

Step-by-step explanation:

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