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Sauron [17]
3 years ago
8

Find the values of A & B so that x^4+x^3+ax+b is divisible by x^2+1

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

a = 1 b = -1.

Step-by-step explanation:

Suppose the quotient when you divide x^4+x^3+ax+b  by x^2 + 1 is

x^2 + ax + b then expanding we have:

(x^2 + 1)(x^2 + ax + b)

= x^4 + ax^3 + bx^2 + x^2 + ax + b

= x^4 + ax^3 + (b + 1)x^2 + ax + b Comparing this with the original expression:

  x^4 +  x^3  + 0 x^2       + ax + b  Comparing coefficients:

a = 1 and b+ 1 = 0 so b = -1.

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Step-by-step explanation:

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3 years ago
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Answer:  $454.55

Step-by-step explanation:

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7 0
2 years ago
in the morning a farm worker packed 3 pints of strawberriesevery 4 minutes.in the afternoon she packed 2 pints of strawberries e
nevsk [136]
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3 years ago
The measure of an angle is 164°. What is the measure of its supplementary angle?
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