Question

find the value of a for which the polynomial (x^4-x^3-11x^2-x+a) is divisible by (x+3)​

Answer 1

Let P(x) =x⁴-x³- 11x²-x +a

so, x +3=0

x = –3 then ,

p(‐3) =(–3)⁴ – (–3)³ –11 ×(–3)² –3 +a

= 81 +27 –11 × 9 –3 + a

=81+27 –99–3+a

=108–102 +a

=6+a

OR ,a = –6.

Step-by-step explanation:

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