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Question:

Find a root of the polynomial using False Position method within the bracket [-10, 10].?

Coef: 2 0 1 1 0 0 0 5 0 0 0 5 0exp.: 5 0 4 3 2 0 0 0 0 0 0 1 0This will form a polynomial of degree 5 for you.the polynomial will be:P(x) 2x5 + x4 + x3 + 5x+0(a) Find a root of the polynomial using False Position method within the bracket [10,10].(b) Find a root of the polynomial using Modified False Position method within the bracket[-10,10].

Answer:

do you mean bracket [ -10, 10 ] (a) P(x) 2x5 + 2x3 + x2 + 3x1 + 6 f(-10)-201924 -0.0052 f(10)202136 f(-10)-201924 -0.0055 f(-0.0052)5.9843 f(-10)-201924 -0.0058 f(-0.0055)5.9834 f(-10)-201924 -0.0061 f(-0.0058)5.9825 f(-10)-201924 -0.0064 f(-0.0061)5.9816 f(-10)-201924 -0.0067 f(-0.0064)5.9807 f(-10)-201924 -0.007 f(-0.0067)5.9799 f(-10)-201924 -0.0073 f(-0.007)5.979 (b) f(-10)-201924 -0.0052 f(10)202136 f(-10)-201924 -0.0055 f(-0.0052)5.9843 f(-10)-201924 -0.0058 f(-0.0055)5.9834 f(-5.0029)-6502.6862 -0.0104 f(-0.0058)5.9825 f(-5.0029)-6502.6862 -0.015 f(-0.0104)5.9688 f(-2.509)-225.6591 -0.0791 f(-0.015)5.9552 f(-2.509)-225.6591 -0.1397 f(-0.0791)5.7679 f(-1.3243)-9.0117 -0.5935 f(-0.1397)5.5949 f(-1.3243)-9.0117 -0.8184 f(-0.5935)4.0066 f(-1.0714)-1.3487 -0.98 f(-0.8184)2.3841 f(-1.0714)-1.3487 -0.998 f(-0.98)0.3308

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