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Use synthetic division

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2|  1  -6   1  24 -20   /* k in a box, coefficients of f(x) */
    _____________
     1                          /* leading coefficient */
 
2|  1  -6   1  24  -20 
    ___2_________   /* 2·1 */
     1  -4                    /* 2·1 + (-6) */
 
2|  1  -6   1  24  -20
    ___2_-8________  /* 2·(-4) */
     1  -4  -7                 /* 2·(-4) + 1 */
 
2|  1  -6   1   24  -20
    ___2_-8_-14_-20__ 
     1  -4  -7 -10     0   /* remainder is 0, so x – 2 divides f(x), so f(2) = 0 */
 
Remainder Theorem:  f(k) = remainder from division of f(x) by x − k.