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3 years ago

Look Below. (Will give brianliest)

Mathematics

1 answer:

joja [24]3 years ago

3 0

Answer:

what is your question friend? :)

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Find the polynomial of minimum degree, with real coefficients, zeros at

drek231 [11]

Answer:

$\huge\boxed{p(x)=4x^3-20x^2+4x+300}$

Step-by-step explanation:

$\text{If}\ x=4\pm3i\ \text{and}\ x=-3\ \text{are the zeros of a polynomial, then it has a form:}\\\\p(x)=\bigg(x-(4-3i)\bigg)\bigg(x-(4+3i)\bigg)\bigg(x-(-3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x-4+3i)(x-4-3i)(x+3)\bigg(r(x)\bigg)\\\\p(x)=\underbrace{\bigg((x-4)+3i\bigg)\bigg((x-4)-3i\bigg)}_{\text{use}\ (a+b)(a-b)=a^2-b^2}(x+3)\bigg(r(x)\bigg)\\\\p(x)=\bigg((x-4)^2-(3i)^2\bigg)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2$

$p(x)=(x^2-2(x)(4)+4^2-3^2i^2)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ i^2=-1\\\\p(x)=(x^2-8x+16-9(-1))(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+16+9)(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+25)(x+3)\bigg(r(x)\bigg)\qquad\text{use FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\p(x)=\bigg((x^2)(x)+(x^2)(3)+(-8x)(x)+(-8x)(3)+(25)(x)+(25)(3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x^3+3x^2-8x^2-24x+25x+75)\bigg(r(x)\bigg)\qquad\text{combine like terms}\\\\p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)$

$\text{The y-intercept is at 300}.\\\\\text{For}\ w(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+...+a_1x+a_0\\\\\text{y-intercept is}\ a_0\\\\\text{Therefore for}\ p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)\\\\\text{y-intercet is}\ 75\bigg(r(x)\bigg)\\\\75\bigg(r(x)\bigg)=300\qquad\text{divide both sides by 75}\\\\r(x)=4\\\\\text{Finally:}\\\\p(x)=(x^3-5x^2+x+75)(4)\qquad\text{use the distributive property}\\\\p(x)=(x^3)(4)+(-5x^2)(4)+(x)(4)+(75)(4)\\\\p(x)=4x^3-20x^2+4x+300$

7 0

3 years ago

What conclusion can be made based on this multiplication problem?

Mademuasel [1]

Answer: Your answer is D

Step-by-step explanation: pls mark me as brainiest and 7 x 3 = 21 or 21 / 3 = 7

4 0

2 years ago

I WILL GIVE BRAINIEST IF CORRECT <br> What is the equation of this graph?

slega [8]

It should be the 2nd or 4th answer, i’m not COMPLETELY sure. I’m positive it’s the 4th answer

7 0

3 years ago

7.935 x 10 to negative 5 power

Effectus [21]

Answer:

0.00007935

Step-by-step explanation:

7.935 x 10 to negative 5 power can be written as:

7.935 x 10^(-5)

$7.935*10^{-5}\\\frac{7.935}{10^5}$

A trick to finding 10 to the x power, x is the number of 0's. So 10^5 = 100000

$\frac{7.935}{100000}\\$

When dividing by tens, move the decimal to the left by the amount of 0's

So our answer is 0.00007935

5 0

3 years ago

Frank created a circle graph to show how he spent his time one day. He spent 8 hours at school, 8 hours sleeping, and the rest o

Valentin [98]

If there are 24 hours a day, he hangs out 8 hours a day since 24-8-8=16

All activities are eqyal to 8/24, which simplifies to 1/3.

1/3 as a percent is 33.33...%

He should include 33.33..% three times in his circle graph.

3 0

3 years ago

Read 2 more answers