Teaching DSSSB TGT Mock Test 2025 Quantitative Aptitude Algebra Polynomials

Find k so that x2 + 2x + k is a factor of 2x4 + x3 - 14 x2 + 5x + 6. Also find all the zeroes of the two polynomials.  

1
1, -3, -1/2, 2
2
2, 4, 1, 3/2
3
3, 1, 1/2, 2
4
4, 1, 1/3, 3/2
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