Question

Find the value
of a for which the polynomial
(x4-x3-11x2-x) +a is divisible by (x+3) ​

Answer 1

Step-by-step explanation:

put x= -3,

since x^4-x^3-11x^2-x+a=(x+3)×k

from that

81+27-99+3+a=0

a=12

hope this helps you

Answer 2

Step-by-step explanation:

$( {x}^{4} - {x}^{3} - 11 {x}^{2} - x) + a \\ \\ \\ putting \: x = - 3 \\ \\ \\ { - 3}^{4} - { - 3}^{3} - 11 {( - 3)}^{2} - ( - 3) + a \\ \\ 81 - ( - 27) - 99 + 3 + a \\ \\ 81 + 27 - 99 + 3 + a = 0 \\ \\ 12 + a = 0 \\ a = - 12$

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