Divide the polynomial x^4-17x^2+34x-12by x-2and find the quotient and remai nder. Also verify the division algorith............Guyys plsss help me out
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X - 2 ) x⁴ - 17 x² + 34 x - 12 ( x³ + 2x² - 13 x + 8
x⁴ - 2 x³
=======
2 x³ - 17 x²
2x³ - 4 x²
==========
-13 x² + 34 x
-13 x² + 26 x
============
8 x - 12
8 x - 16
========
4
Remainder theorem:
Remainder = P(2) = 2⁴ - 17 * 2² + 34*2 - 12 = 4
x⁴ - 2 x³
=======
2 x³ - 17 x²
2x³ - 4 x²
==========
-13 x² + 34 x
-13 x² + 26 x
============
8 x - 12
8 x - 16
========
4
Remainder theorem:
Remainder = P(2) = 2⁴ - 17 * 2² + 34*2 - 12 = 4
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