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Tanzania [10]
3 years ago
8

Use the following number line to determine if the expressions are true or false.

Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0

Answer:

true

Step-by-step explanation:

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If 2i is a zero of f(x)=x^4+x^2+a, find the value of a
Sedbober [7]

By the polynomial remainder theorem, because <em>x</em> = 2<em>i</em> is a zero of <em>f(x)</em>, we have no remainder upon dividing <em>f(x)</em> by <em>x</em> - 2<em>i</em>.

Computing the quotient yields

\dfrac{x^4+x^2+a}{x-2i} = x^3+2ix^2-3x-6i+\dfrac{12+a}{x-2i}

Then if the remainder term is 0, follows that <em>a</em> = -12.

5 0
2 years ago
In the diagram, bisects ABC. Find mABD and mDBC
Pie

Answer:

mABD=24

mDBC=24

Step-by-step explanation:

First, set up x+15 and 4x-12 as equivalent equations

Subtract x from both sides to get 3x-12=15

Add 12 to get 3x=27

x=9

Plug 9 into the original equations representing the measurements of angles

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