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Ganezh [65]
3 years ago
5

98 POINTS!!!Write a polynomial function in standard form given the zeros±√5 , 7

Mathematics
2 answers:
Neporo4naja [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Knowing the three zeros of the equation, we can set it up as follows:

(x - \sqrt{5})(x + \sqrt{5})(x - 7)

Multipying the first two expressions together gives us the following:

(x^{2} - 5)(x - 7)

Multiplying the two expressions together gives us the following:

x^{3} - 7x^{2} - 5x + 35

stiv31 [10]3 years ago
3 0

Set up an expression.

= [(x + √5)(x - √5)](x - 7)

~Multiply

= (x² - 5)(x - 7)

~Multiply

= x³ - 7x² - 5x + 35

Best of Luck!

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According to the fundamental theorem of algebra, how many roots does the polynomial f(x)=x4+3x2+7 have over the complex numbers,
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EXPLANATION

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This is a fourth degree polynomial.

According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.

This roots include both real and complex roots.

Also repeated roots or roots with multiplicity greater than one are counted as distinct.

Since the given polynomial function is a fourth degree polynomial, the Fundamental Theorem of Algebra, says that this polynomial has 4 roots.

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