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2. A polynomial is given below. 4x^5-2x^4+7x-11 Which statement must be true about this polynomial? A. It has exactly 4 roots (including any repeated roots) that must be real numbers. B. It has exactly 5 roots (including any repeated roots) that must be real numb ers. C. It has exactly 4 roots (including any repeated roots) that may be real or complex numbers. D. It has exactly 5 roots (including any repeated roots) that may be real or complex numbers.

Pergunta

2. A polynomial is given below. 4x^5-2x^4+7x-11 Which statement must be true about this polynomial? A. It has exactly 4 roots (including any repeated roots) that must be real numbers. B. It has exactly 5 roots (including any repeated roots) that must be real numb ers. C. It has exactly 4 roots (including any repeated roots) that may be real or complex numbers. D. It has exactly 5 roots (including any repeated roots) that may be real or complex numbers.

2. A polynomial is given below. 4x^5-2x^4+7x-11 Which statement must be true about this polynomial? A. It has exactly 4 roots (including any repeated roots) that must be real numbers. B. It has exactly 5 roots (including any repeated roots) that must be real numb ers. C. It has exactly 4 roots (including any repeated roots) that may be real or complex numbers. D. It has exactly 5 roots (including any repeated roots) that may be real or complex numbers.

Solução

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DafneElite · Tutor por 8 anos

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The correct answer is D. It has exactly 5 roots (including any repeated roots) that may be real or complex numbers.<br /><br />Explanation:<br />A polynomial of degree n has exactly n roots (including any repeated roots) that may be real or complex numbers. In this case, the given polynomial is of degree 5, so it must have exactly 5 roots (including any repeated roots) that may be real or complex numbers.
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