Write a polynomial of least degree with rational coefficients, a leading coefficient of 1, and zeros at 3 and sqr root 7. Expand your answer

Question

Write a polynomial of least degree with rational coefficients, a leading coefficient of 1, and zeros at 3 and sqr root 7. Expand your answer and write it in standard form

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Philomena 4 years 2021-08-07T05:34:47+00:00 1 Answers 7 views 0

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  1. ngocdiep
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    2021-08-07T05:36:15+00:00
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    Answer:

    (x-3)(x^2-7) = x^3 -3x^2 -7x + 21

    just change the sign of the root and put x in front of it, then multiply the factors all together

    (x-3)(x-sqr7)(x+sqr7)    roots come in conjugate pairs to eliminate irrational coefficients

    (x-sqr7)(x+sqr7) = x^2-7.  similar to (a-b)(a+b) = a^2-b^2

    Step-by-step explanation:

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