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The value of P(t)= 2t4+5t3 -t 2+5 at t=-1 is (a) 5 (b) 1 (c) 3 |
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Answer» Answer: (i) t −3,2t 4 +3t 3 −2t 2 −9t−12 Remainder is 0, hence t 2 −3 is a factor of 2t 4 +3t 3 −2t 2 −9t−12 (ii) X 2 +3X+1,3x 4 +5x 3 −7x 2 +2x+2 Remainder is 0, hence x 2 +3x+1 is a factor of 3x 4 +5x 3 −7x 2 +2x+2 (III) x 3 −3x+1,x 5 −4x 3 +x 2 +3x+1 Remainder is 2, hence x 3 −3x+1 is not a factor of x 5 −4x 3 +x 2 +3x+1 |
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