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4 votes
98 POINTS!!!

Write a polynomial function in standard form given the zeros


±√5 , 7

2 Answers

5 votes

Set up an expression.

= [(x + √5)(x - √5)](x - 7)

~Multiply

= (x² - 5)(x - 7)

~Multiply

= x³ - 7x² - 5x + 35

Best of Luck!

User Christoph Dahlen
by
4.8k points
6 votes

Answer:

Explanation:

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


(x - √(5))(x + √(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

User LeoGalante
by
5.2k points
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