Question

Consider the polynomial p(x) = x⁴ - 2x³ + 3. What is the value of the polynomial at x = −1?

Answer 1

Value of polynomial = 6

Step-by-step explanation:

Given :

Polynomial p(x)

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

To find :

Value of the polynomial at x = -1

Solution :

Putting x = -1 in the given polynomial, we have,

$p( - 1) \: = {( - 1)}^{4} - 2 {( - 1)}^{3} + 3 \\ => p( - 1) \: = \: 1 + 2 \: + 3 \\ = 6$

Hence, the value of polynomial at x = -1 is 6.

Answer 2

Answer:

Value of polynomial = 6

Step-by-step explanation:

Given :

Polynomial p(x)

p(x) \: = \: {x}^{4} - 2 {x}^{3} \: + 3p(x)=x

4

−2x

3

+3

To find :

Value of the polynomial at x = -1

Solution :

Putting x = -1 in the given polynomial, we have,

\begin{gathered}p( - 1) \: = {( - 1)}^{4} - 2 {( - 1)}^{3} + 3 \\ = > p( - 1) \: = \: 1 + 2 \: + 3 \\ = 6\end{gathered}

p(−1)=(−1)

4

−2(−1)

3

+3

=>p(−1)=1+2+3

=6

Hence, the value of polynomial at x = -1 is 6.