Question

Value of the polynomial 4x³ + 7x² + x-2 when x =-1 is_________ ​

Answer 1

Answer:

Answer is 0....

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Answer 2

$\huge{ \underline{ \underline{ \green{ \sf{Given : }}}}}$

• Polynomial is given=4x^3+7x^2+x-2

• When x=-1

$\huge{ \underline{ \underline{ \red{ \sf{To \: Find:}}}}}$

• Value of the polynomial

$\huge{ \underline{ \underline{ \underline{ \pink{ \sf{Solution:}}}}}}$

Given,

• $\rm\: p(x) =4 {x}^{3} + 7 {x}^{2} + x -2$

• when x = -1

$\begin{gathered} \sf \: p( - 1) = 4 \times {( - 1)}^{3} + 7 {( - 1)}^{2} + ( - 1) - 2 \\ \\ \sf{ \red \implies \: 4 \times ( -1) + 7 \times 1 - 1 - 2}\\ \\ \sf{ \red\implies \: - 4 + 7 - 1 - 2} \\ \\ \: \: \: \: \: \: \sf{ \red\implies \: - 7 + 7 = 0}\end{gathered}$

$\huge{\sf{ \pink{ \underline{ \underline{hence}}}}}$

• The value of polynomial is 0.