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djverab [1.8K]
3 years ago
7

Add the following polynomials: 3a3 + 8a - 6 and 4a2 - 9a + 11

Mathematics
2 answers:
alexdok [17]3 years ago
4 0

Answer:

3a^3+4a^2-1a+5

Step-by-step explanation:

Add the following polynomials:

3a^3 + 8a - 6 \ and\  4a^2 - 9a + 11

To add the polynomials we combine like terms

3a^3 + 8a - 6 + 4a^2 - 9a + 11

The terms with same variables are like terms

8a and -9a are like terms

8a - 9a = -1a

-6 +11= 5

3a^3 + 8a - 6 + 4a^2 - 9a + 11=3a^3+4a^2-1a+5

liubo4ka [24]3 years ago
3 0
<span> 3a^3+8a-6
+4a^2-9a+11
=3a^3+4a^2-a+5

</span>
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For the first line we have a slope of (y2-y1)/(x2-x1)

(2--2)/(1--1)=4/2=2 so we have:

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2=2(1)+b

b=0 so the first line is:

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Now the second line:

(1-10)/(4--2)=-9/6=-3/2 so far then we have:

y=-3x/2+b, using point (4,1) we solve for b...

1=-3(4)/2+b

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b=7 so 

y=-3x/2+7 or more neatly...

y=(-3x+14)/2

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2x=(-3x+14)/2

4x=-3x+14

7x=14

x=2, and using y=2x we see that:

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(2,4)


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