Question

2.
Consider the polynomial in z P(z)=z4 - 2z^3 + 3. What is the value of polynomial at z=-1?
a) 2
b) 3
C) 5
d) 6​

Answer 1

$Given \: polynomial \: p(z) = z^{4}-2z^{3}+3$

/* Substitute z = - 1 in the polynomial,we get */

$\red{ Value \: of \: p(-1) } \\= (-1)^{4} - 2(-1)^{3} + 3 \\= 1 - 2\times (-1) + 3 \\= 1 + 2 + 3 \\= 6$

Therefore.,

$\red{ Value \: of \: p(-1) } \green { = 6 }$

$Option \: \green { ( d ) } \:is \: correct$

•••♪

Answer 2

Answer:

6

Step-by-step explanation:

P(z) = z⁴ - 2z³ + 3

⇒ P(-1) = (-1)⁴ - 2 × (-1)³ + 3

⇒ P(-1) = 1 - 2 × (-1) + 3

⇒ P(-1) = 1 - (-2) + 3

⇒ P(-1) = 3 + 3

⇒ P(-1) = 6