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Vitek1552 [10]
2 years ago
14

Write a polynomial function of least degree with rational coefficients so that ​P(x)0 has the given roots. x=-5, x=10

Mathematics
1 answer:
Maru [420]2 years ago
8 0

Answer:

P(x) = x² - 15x + 50

Step-by-step explanation:

We write the polynomial function P(x), given that P(x) = 0 has the given roots, x = 5 and x = 10.

Since x = 5 and x = 10 are the roots of P(x) = 0, it follows that (x - 5) and (x - 10) are factors of P(x) = 0. So, P(x) = (x -5)(x - 10) = 0

Expanding the brackets, we have

x² - 10x - 5x + 50 = 0

Simplifying, we have

x² - 15x + 50 = 0 = P(x)

Thus,

P(x) = x² - 15x + 50

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2 years ago
Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to
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Answer:

0.9905,0.9837,0.8066

Step-by-step explanation:

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6 0
3 years ago
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Step-by-step explanation:

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Classify the polynomial by number its terms. -10 binomial trinomial monomial
olga_2 [115]

Answer:

Monomial

Step-by-step explanation:

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2 years ago
Pls help thanks okay bye
Sphinxa [80]
6+5+10= 22 (ignore this i have to have 20 characters to submit this answer )
3 0
2 years ago
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