Question

if -1 is a zero of the polynomial p(x)= ax^3-x²+x+4, then find the value of a

Answer 1

Step-by-step explanation:

if -1 is zero of the polynomial that means x can be replaced by -1

so,

x = -1

p(-1) = a(-1)³ -(-1)² +(-1) +4 = 0

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

= -a + 2 = 0

= -a = -2

= a = 2

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