If the polynomial x^4-6x^3-16x^2+25x+10 is divided by another polynomial x^2-2x+k , the remainder comes out to be x+a, find k and a.It is not +16x^2. You may think like that. Answer the question by keeping it as -16x^2 only.

If the polynomial x^4-6x^3-16x^2+25x+10 is divided by another polynomi

1.	If the polynomial x^4-6x^3-16x^2+25x+10 is divided by another polynomial x^2-2x+k , the remainder comes out to be x+a, find k and a.It is not +16x^2. You may think like that. Answer the question by keeping it as -16x^2 only.
Answer» X^2-2x+K ) x^4 - 6 x^3 - 16 x^2 + 25 x + 10 ( x^2 - 4 x - (24+k) x^4 - 2x^3 + k x^2 =================== - 4 x^3 -(16+k) x^2 + 25 x - 4 x^3 + 8 x^2 - 4 k x ===================== - (16 + k + 8) x^2 + (25+4k) x + 10 -(24 +k) x^2 + 2(24+k) x - (24+k) k ============================ (-23 + 2 k) x + (k^2+ 24 k +10) -23 + 2 k = 1 => k = 12 k^2 + 24 k + 10 = a => a = 442 REMINDER = x + 442 verification ======================================== x^2 - 2x + 12 ) x^4 - 6 x^3 - 16 x^2 + 25 x + 10 ( x^2 - 4 x - 36 x^4 - 2 x^3 + 12 x^2 ==================== - 4 x^3 - 28 x^2 + 25 x - 4 x^3 + 8 x^2 - 48 x =============== - 36 x^2 + 73 x + 10 - 36 x^2 + 72 x - 432 ========================= 1 x + 442 ============================================

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If the polynomial x^4-6x^3-16x^2+25x+10 is divided by another polynomial x^2-2x+k , the remainder comes out to be x+a, find k and a.It is not +16x^2. You may think like that. Answer the question by keeping it as -16x^2 only.

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