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Eddi Din [679]
4 years ago
12

Simplify -2.5·4 thanks hhhhhhhhh

Mathematics
2 answers:
Delvig [45]4 years ago
6 0

Answer:

-10

Step-by-step explanation:

Multiply the number -2.5 * 4

= -10

ICE Princess25 [194]4 years ago
4 0

Answer:

-10

Step-by-step explanation:

-2.5 times 4

-10

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Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?
Yanka [14]

Answer:

f(x) = (x + 19)(x^2 + 1)

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

i^2 = -1

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)

Output of 40 when x=1

This means that when x = 1, f(x) = 40. We use this to find the leading coefficient a. So

f(x) = a(x + 19)(x^2 + 1)

40 = a(20)(2)

40a = 40

a = 1

The polynomial is:

f(x) = (x + 19)(x^2 + 1)

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