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faltersainse [42]
3 years ago
7

The United State House of Representatives has 35 more members than four times the number of members in the United States Senate.

Define a variable and write an expression to represent the number of members in the House of Representatives. Then find the number of members in the House of Representatives, if there are 100 members in the Senate.
Mathematics
2 answers:
amm18123 years ago
5 0
H - us house of representatives    /      s = us senate
H - 35 = S
H - 35 = 100
H = 135

I know this might look a little confusing but I hope this helps! Please comment if you would like me to clarify anything :)
Tatiana [17]3 years ago
4 0
House of representatives=h
United states senate= u
h=4u+35
If u=100:
h=4(100)+35
h=400+35
h=435

Hope this helps :)
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Answer:

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Step-by-step explanation:

Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is  a factor of P(x). According to this definition:

(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.

Simplifying the brackets, we get:

(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.

This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a)  which resulted in the wrong answer.

So, the polynomial would be:

(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0

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Step-by-step explanation:

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