If the polynomial x4-2 x3-8 x2-12 x-18 is divided by another polynomial x2-5- the remainder comes out to be p x-q- Find the values of p and q-

Let nbsp;f(x) = x4 nbsp;+ 2x3 nbsp;+ 8x2 nbsp;+ 12x nbsp;+ 18 It is given that when nbsp;f(x) is divisible by nbsp;x2 nbsp;+ 5, the remainder c ...

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Division Algorithm for a Polynomial

If the polyno...

Question

If the polynomial (x⁴ + 2x³+ 8x²+ 12x + 18) is divided by another polynomial (x² + 5), the remainder comes out to be (px + q). Find the values of p and q.

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(x^{4} + {2 x}^{3} + {8 x}^{2} + 12 x + 18)

(x^{2} + 5),

(p x + q)

p

q

x^{4} + 2 x^{3} + 8 x^{2} + 12 x + 18

x^{2} + 5,

f (x) = x^{4} - 6 x^{3} + 16 x^{2} - 25 x + 10

x^{2} - 2 x + k

(x + a)

k

a

3 x^{2} - x^{3} - 3 x + 5

x - 1 - x^{2}

3

p (x) = x^{2} - 8 x + k

(x - 1)

6

k

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