If A-x-3- B-4x-2-x-1- C -x-1- then find -A-B-A-C- x-6-4x-5-2x-4-x-6-4x-5-2x-4-3x-3-5-x-6-4x-5-2x-4-4x-3-5x-2-1-x-6-4x-5-2x-4-4x-3-5x-2-1-

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Byju's Answer

Standard IX

Mathematics

Polynomial of Degree 'n' =1,2,3,...

If A=x^3, B=4...

Question

If $A = x^{3}, B = 4 x^{2} + x - 1, C = x + 1$ , then find (A-B)(A-C)

$x^{6} - 4 x^{5} + 2 x^{4} - 3 x^{3} + 5$

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$x^{6} + 4 x^{5} - 2 x^{4} + 4 x^{3} + 5 x^{2} - 1$

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$x^{6} - 4 x^{5} - 2 x^{4}$

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$x^{6} - 4 x^{5} - 2 x^{4} + 4 x^{3} + 5 x^{2} - 1$

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Solution

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Similar questions

Q. Divide

- x^{6} + 2 x^{4} + 4 x^{3} + 2 x^{2} by \sqrt{2} x^{2}

Q. Evaluate the following:
(i)

2 x^{3} + 2 x^{2} - 7 x + 72, when x = \frac{3 - 5 i}{2}

(ii)

x^{4} - 4 x^{3} + 4 x^{2} + 8 x + 44, when x = 3 + 2 i

(iii)

x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 9, when x = - 1 + i \sqrt{2}

(iv)

x^{6} + x^{4} + x^{2} + 1, when x = \frac{1 + i}{\sqrt{2}}

(v)

2 x^{4} + 5 x^{3} + 7 x^{2} - x + 41, when x = - 2 - \sqrt{3} i

Evaluate the following :

$(i) 2 x^{3} + 2 x^{2} - 7 x + 72, w h e n x = \frac{3 - 5 i}{2} (i i) x^{4} - 4 x^{3} + 4 x^{2} + 8 x + 44, w h e n x = 3 + 2 i (i i i) x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 9, w h e n x = - 1 + i \sqrt{2} (i v) x^{6} + x^{4} + x^{2} + 1, w h e n x = \frac{1 + i}{\sqrt{2}} (v) 2 x^{4} + 5 x^{3} + 7 x^{2} - x + 41, w h e n x = - 2 - \sqrt{3} i$

Q. Solve :

\int \frac{x^{6} - 2 x^{4} + 3 x^{3} - 9 x^{2} + 4}{x^{5} - 5 x^{3} + 4 x} d x

Q. The polynomial

x^{6} + 4 x^{5} + 3 x^{4} + 2 x^{3} + x + 1

is divisible by- (where

ω

is complex cube root of unity)

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If A=x3,B=4x2+x−1,C=x+1, then find (A-B)(A-C)

If $A = x^{3}, B = 4 x^{2} + x - 1, C = x + 1$ , then find (A-B)(A-C)