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artcher [175]
3 years ago
11

Write a polynomial function of least degree with integral coefficients that has the given zeros.

Mathematics
1 answer:
densk [106]3 years ago
4 0
The zeroes are
0, -5, 3 + i (and its conjugate)

The factors are
x (x + 5) (x - (3 + i)) (x - (3 - i))
Expanding...
(x² + 5x)((x - 3) - i) ((x - 3) + i)
(x² + 5x)((x - 3)² - i²)
(x² + 5x)(x² - 6x + 9 - (-1))
(x² + 5x)(x² - 6x + 10)
x⁴ - 6x³ + 10x² + 5x³ - 30x² + 50x
x⁴ - x³ - 20x² + 50x
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Which choice is equivalent to the fraction below? Hint: Rationalize the denominator and simplify.
inna [77]

Answer:

\boxed{\text{D. }3\sqrt{2}}

Step-by-step explanation:

Multiply numerator and denominator by √2

\dfrac{6}{\sqrt{2}} = \dfrac{6}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\= \dfrac{6\sqrt{2}}{2}\\\\= \boxed{3\sqrt{2}}

4 0
3 years ago
Read 2 more answers
6 identical toys weigh 1.8 kg how much would 1 toy weigh using grams
kaheart [24]

Solution:

Given that, 6 identical toys weigh 1.8 kg

we know that, 1kilogram = 1000 grams

6 identical toys weigh in grams

1.8 * 1000 =1800

6 identical toys weigh 1800 grams

then calculating the weight of 1 toy by unitary method ,

weight of 1 toy =\frac{1800}{6} = 300 grams.

Hence, 1 toy would weigh 300 grams.



6 0
3 years ago
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Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work please! I have the answer: 21 + `12i but I need to show my wo
masha68 [24]

Answer:

21+12i i hope this will help you

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

=[3(1+5i)-4i(1+5i)]-(2-i)

=[3+15i-4i-20i²]-(2-i)

=(3+11i-20i²)-(2-i)

opening brackeys

=3+11i-20i²-2+i

=3+11i+1i-20i²-2

as we know that i²=-1

=3-20(-1)-2+12i

=3+20-2+12i

=21+12i

8 0
3 years ago
There are 1.25 ounces of juice in3 of oranges.if you have a sack of oranges which each have a diameter of 3.5 inches, appromatel
Nikolay [14]
 12oz(8in^3orange/1.25oz)=76.8 in^3 of oranges...

Vo=(4p(3.5/2)^3)/3=22.45 in^3 per orange...

76.8 in^3(orange/22.45 in^3)=3.42 oranges...

Round down to 3 oranges.
4 0
4 years ago
AB is the angle bisector of ∠CAD. Solve for x.
Sliva [168]

Answer: x=7

Step-by-step explanation:

Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7

3 0
3 years ago
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