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Dmitry_Shevchenko [17]
3 years ago
15

Which statement is true?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0

Answer:

c

Step-by-step explanation:hope it hepls

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Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo
anastassius [24]

Answer:

a) f(x)=3x^{3}-6x^{2}-15x+30

Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

x_{1}=\sqrt{5}\:x_{2}=2

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form x'=\sqrt{a}+b  then its conjugate x''=\sqrt{a}-b. is also a root of this polynomial.

Therefore

x_3=-\sqrt{5}

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30

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3 years ago
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Y_Kistochka [10]

I believe it's A, sorry if it's incorrect. ^-^'

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3 years ago
Solve the equation by Completing the Square<br> x2 – 10x + 13 = 0
user100 [1]

Answer:

x=5+\sqrt{12}

or

x=5-\sqrt{12}

Step-by-step explanation:

x^2-10x+13=0

x^2-10x=-13

x^2-10x+(\frac{10}{2})^2 =-13+(\frac{10}{2})^2

x^2-10x+(5)^2=-13+(5)^2

x^2-10x+25=-13+25\\x^2-10x+25=12

Factor.

(x-5)^2=12

Extract the square root.

x-5=\frac{+}{} \sqrt{12}

Add 5

x=5+\sqrt{12}

or

x=5-\sqrt{12}

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3 years ago
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igomit [66]

Step-by-step explanation:

48 us the correct answer

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3 years ago
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Answer:

2 or 3 I think

I gessssssssssing

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