Question

If -1 is a zero polynomial p (x) = as cube - x square +x +4. Find the value of a

Answer 1

Answer:

heya mate there's your answer

as -1 is the zero of given polynomial it satisfies the p(x)

so apply it in p(x)

p(x)=ax^3-x^2+x+4=0

p(-1)=a(-1)^3-(-1)^2+(-1)+4=0

-a-(+1)-1+4=0

-a-1-1+4=0

-a-2+4=0

-a+2=0

-a=-2

a=2

hope it helps you

Thank you

Answer 2

Answer:

4

Step-by-step explanation:

p(x) = ax³ - x² + x + 4

Given zero: -1

P(-1) = a(-1)³ - (-1)² + (-1) + 4

= a(-1) + (1) - 1 + 4

= -a + 1 - 1 + 4

= 4 - a

Since -1 is a zero of p(x), p(-1) = 0.

Thus, 4-a 0

Hence, a = 4.