Pertanyaan

Untuk bilangan bulat a manakah suku banyak x 4 − 12 x 3 + 13 x 2 − 8 x + a dan 6 x 2 − 11 x + 4 . Mempunyai satu faktor yang sama ....

Untuk bilangan bulat a manakah suku banyak $x^{4} - 12 x^{3} + 13 x^{2} - 8 x + a$ dan $6 x^{2} - 11 x + 4$ . Mempunyai satu faktor yang sama ....

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D. Kamilia

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Jawaban terverifikasi

Pembahasan

$f left parenthesis x right parenthesis equals 4 x to the power of 4 minus 12 x cubed plus 13 x squared minus 8 x plus a g left parenthesis x right parenthesis equals 6 x squared minus 11 x plus 4 F a k t o r space g left parenthesis x right parenthesis equals 6 x squared minus 11 x plus 4 g left parenthesis x right parenthesis equals 0 6 x squared minus 11 x plus 4 equals 0 left parenthesis 2 x minus 1 right parenthesis left parenthesis 3 x minus 4 right parenthesis equals 0 x equals 1 half space d a n space x equals 4 over 3 f left parenthesis x right parenthesis space m e m i l i k i space f a k t o r space y a n g space s a m a space d e n g a n space g left parenthesis x right parenthesis. M a k a colon x equals 1 half f open parentheses 1 half close parentheses equals 0 0 equals 4 x to the power of 4 minus 12 x cubed plus 13 x squared minus 8 x plus a 0 equals 4 open parentheses 1 half close parentheses to the power of 4 minus 12 open parentheses 1 half close parentheses cubed plus 13 open parentheses 1 half close parentheses squared minus 8 open parentheses 1 half close parentheses plus a 0 equals 1 fourth minus 12 over 8 plus 13 over 4 minus 4 plus a 0 equals fraction numerator 2 minus 12 plus 26 minus 32 over denominator 8 end fraction plus a 0 equals fraction numerator negative 16 over denominator 8 end fraction plus a a equals 2$