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zimovet [89]
3 years ago
14

Multiple polynomial the (x^3+3x^2+1)(3x^2+6x-2)​

Mathematics
1 answer:
Mrrafil [7]3 years ago
6 0

The product of given polynomials is: 3x^5+15x^4-16x^3-3x^2+6x-2

Step-by-step explanation:

Given polynomials are:

(x^3+3x^2+1)\\and\\(3x^2+6x-2)

In order to multiply both polynomials, we will use the distributive property

So,

= (x^3+3x^2+1)(3x^2+6x-2)\\=x^3(3x^2+6x-2)+3x^2(3x^2+6x-2)+1(3x^2+6x-2)\\=3x^5+6x^4-2x^3+9x^4+18x^3-6x^2+3x^2+6x-2

Combining like terms

=3x^5+6x^4+9x^4-2x^3+18x^3+3x^2-6x^2+6x-2\\=3x^5+15x^4-16x^3-3x^2+6x-2

Hence,

The product of given polynomials is: 3x^5+15x^4-16x^3-3x^2+6x-2

Keywords: Polynomials, variables

Learn more about polynomials at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#LearnwithBrainly

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Division of whole numbers is associative, true or false? If false then what is correct? Plz and Thank you for the help!!
Sav [38]

Answer:

Division is not associative.

The associative property applies only to addition and multiplication, not subtraction or division.

4 0
3 years ago
Which of the following equations represents the perpendicular bisector of WX graphed below?
kotykmax [81]
The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2},  \frac{y_1+y_2}{2} )=  (\frac{-5+5}{2},  \frac{2+(-4)}{2} )=(0, -1).

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is \displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}.

Thus, the slope n of the perpendicular line is \displaystyle{  \frac{5}{3}.

The equation of the line with slope \displaystyle{ n= \frac{5}{3} containing the point M(0, -1) is given by:

\displaystyle{ y-(-1)=\frac{5}{3}(x-0)

\displaystyle{ y+1= \frac{5}{3}x

\displaystyle{ 3y+3=5x

\displaystyle{ 5x-3y-3=0

Answer: 5x-3y-3=0
8 0
3 years ago
4y (4y - 4) - 4 (-4 + 5 + 4y²)<br><br> please simplify &lt;3
sasho [114]

Answer:

16y - 4

Step-by-step explanation:

4y(4y - 4) - 4(- 4 + 5 + 4y^2)

16y - 16y - 4(1 + 4y^2)

16y - 16y - 4(4y^2 + 1)

16y^2 - 16y^2 + 4

16y - 4

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3 years ago
NEED HELP FAST
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Answer: 0.72/20; 1.98/20; 17.3/20

0.036 * 10/10 = 0.36/10 * 2/2 = 0.72/20

0.099 * 10/10 = 0.99/10 * 2/2 = 1.98/20

0.865 * 10/10 = 8.65/10 * 2/2 = 17.3/20

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3 years ago
If another 10-year old were to join the baseball team shown in the scatter plot below, what is the best estimate for his height?
MissTica

Answer:

55

Step-by-step explanation:

7 0
3 years ago
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