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3 years ago

Determine the total number of roots of each polynomial function f (x) = (3x^4 + 1)^2

Mathematics

2 answers:

ikadub [295]3 years ago

8 0

Answer:

8 roots

Step-by-step explanation:

yarga [219]3 years ago

4 0

Answer:

Step-by-step explanation:

The polynomial is of degree 4·2 = 8, so there will be 8 roots. All of them will be complex.

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4 years ago

Read 2 more answers

The figure the Floor Plan of a balcony ,it consists of △ABC and semi-circle ,

ivanzaharov [21]

Step-by-step explanation:

(a) In right triangle ABC,

$AC^2 =AB^2 +BC^2 \\ = {12}^{2} + {5}^{2} \\ = 144 + 25 \\ = 169 \\ AC = \sqrt{169} \\ \therefore \: AC = 13\: m \\ \\ AC \: is \: the \: diameter \: of \: semicircle \\ \therefore \: r = \frac{1}{2} \times AC = \frac{1}{2} \times 13 = 6.5 \: m \\ Circumference \:of \:semi-circle \\ C = \pi \: r = 3.14 \times 6.5 = 20.41 \:m\:$

Perimeter of Balcony = 12 + 5 + 20.41 = 37.41 m

(b) Area of balcony

$=\frac{1}{2}\times 12\times 5+\frac{1}{2} \pi r^2 \\\\=\times 6\times 5+\frac{1}{2} \times 3.14\times (6.5)^2 \\\\=30+\frac{1}{2} \times 3.14\times42.25\\\\= 30+\frac{1}{2} \times 132.665\\\\= 30 + 66.3325\\\\= 96.3325 \:m^2 \\\\\approx 96. 33\:m^2$

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4 years ago

Madison, Natalie, Isabella and Rebecca go shopping. Madison spent 4/5 of her money, Natalie spends 75% of her money,Isabella spe

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Answer:

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Step-by-step explanation:

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3 years ago

Help solve pls ^-^

Papessa [141]

Step-by-step explanation:

$1.\ x-9.5=1.23\qquad\text{add 9.5 to both sides}\\\\\boxed{x=10.73}\\\\2.\ k-4.3=12\qquad\text{add 4.3 to both sides}\\\\\boxed{k=16.3}\\\\3.\ r-20=32\qquad\text{add 20 to both sides}\\\\\boxed{r=52}\\\\4.\ d-10=25\qquad\text{add 10 to both sides}\\\\\boxed{d=35}\\\\5.\ n-(-8)=-18\\\\n+8=-18\qquad\text{subtract 8 from both sides}\\\\\boxed{n=26}\\\\6.\ c-(-2.6)=-14.9\\\\c+2.6=-14.9\qquad\text{subtract 2.6 from both sides}\\\\\boxed{c=-17.5}$

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3 years ago

Determine the total number of roots of each polynomial function f (x) = (3x^4 + 1)^2​

Determine the total number of roots of each polynomial function f (x) = (3x^4 + 1)^2