Math, asked by janvibhatiya123, 7 months ago

what is the value of the polynomial 4x
4x ^{3} + 7x ^{2} + x - 2
when x = -1
please answer fast

Answers

Answered by amankumaraman11
3

Given :  \boxed{ \sf{x  =  - 1}}

To find : \boxed{ \small\sf {4x}^{3}  +  {7x}^{2}  + x - 2 = \:?}

 \huge\underline{\underline{\mathbb{SOLUTION : }}}</p><p>

 \bf =  &gt; {4x}^{3}  +  {7x}^{2}  + x - 2  \\  \bf =  &gt;  {4( - 1)}^{3}  +  {7( - 1)}^{2}  + ( - 1) - 2 \\  \bf =  &gt; 4( - 1) + 7(1) - 1 - 2  \\  \bf =  &gt;  - 4 + 7 - 3  \:  \:  \:  \:  \\   \bf =  &gt;   - 7 + 7  \:  \:  \:  \: = 0

Hence,

  • It is found that the value of the polynomial p(x) = 4x³ + 7x² + x - 2 at x = -1 is 0.

• Thus, It can be stated that (x + 1) is a factor of p(x) = 4x³ + 7x² + x - 2

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&lt;marquee&gt;MARK BRAINLIEST↖↖

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