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Popular >

factor 1-25x^{21}-5x

Solution

factor

1 - 25 x^{21} - 5 x

Solution

- (5 x - 1) (5 x^{20} + x^{19} + \frac{x ^{18}}{5} + \frac{x ^{17}}{25} + \frac{x ^{16}}{125} + \frac{x ^{15}}{625} + \frac{x ^{14}}{3125} + \frac{x ^{13}}{15625} + \frac{x ^{12}}{78125} + \frac{x ^{11}}{390625} + \frac{x ^{10}}{1953125} + \frac{x ^{9}}{9765625} + \frac{x ^{8}}{48828125} + \frac{x ^{7}}{244140625} + \frac{x ^{6}}{1220703125} + \frac{x ^{5}}{6103515625} + \frac{x ^{4}}{30517578125} + \frac{x ^{3}}{152587890625} + \frac{x ^{2}}{762939453125} + \frac{x}{3814697265625} + \frac{1.90735 E 13}{1.90735 E 13})

Solution steps

1 - 25 x^{21} - 5 x

Factor out common term

- 1

= - (25 x^{21} + 5 x - 1)

Factor

25 x^{21} + 5 x - 1 : (5 x - 1) (5 x^{20} + x^{19} + \frac{x ^{18}}{5} + \frac{x ^{17}}{25} + \frac{x ^{16}}{125} + \frac{x ^{15}}{625} + \frac{x ^{14}}{3125} + \frac{x ^{13}}{15625} + \frac{x ^{12}}{78125} + \frac{x ^{11}}{390625} + \frac{x ^{10}}{1953125} + \frac{x ^{9}}{9765625} + \frac{x ^{8}}{48828125} + \frac{x ^{7}}{244140625} + \frac{x ^{6}}{1220703125} + \frac{x ^{5}}{6103515625} + \frac{x ^{4}}{30517578125} + \frac{x ^{3}}{152587890625} + \frac{x ^{2}}{762939453125} + \frac{x}{3814697265625} + \frac{1.90735 E 13}{1.90735 E 13})

= - (5 x - 1) (5 x^{20} + x^{19} + \frac{x ^{18}}{5} + \frac{x ^{17}}{25} + \frac{x ^{16}}{125} + \frac{x ^{15}}{625} + \frac{x ^{14}}{3125} + \frac{x ^{13}}{15625} + \frac{x ^{12}}{78125} + \frac{x ^{11}}{390625} + \frac{x ^{10}}{1953125} + \frac{x ^{9}}{9765625} + \frac{x ^{8}}{48828125} + \frac{x ^{7}}{244140625} + \frac{x ^{6}}{1220703125} + \frac{x ^{5}}{6103515625} + \frac{x ^{4}}{30517578125} + \frac{x ^{3}}{152587890625} + \frac{x ^{2}}{762939453125} + \frac{x}{3814697265625} + \frac{1.90735 E 13}{1.90735 E 13})

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Frequently Asked Questions (FAQ)

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