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worty [1.4K]
3 years ago
6

Factor this polynomial. -3x^2-5x-2

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0

Answer:

-(3x+2)(x+1)

Step-by-step explanation:

Lets factor the trinomial -3x^2-5x-2 step-by-step:

Step 1. Since all the terms are negative, we can factor -1 out

-3x^2-5x-2=-1(3x^2+5x+2)

Step 2. Split the middle term of 3x^2+5x+2

5x=3x+2x, so 3^2+5x+2=3x^{2} +3x+2x+2

Step 3. Group common terms

(3x^2+2x)+(3x+2)

Step 4. Factor each parentheses

x(3x+2)+(3x+2)

Step 5. Factor the common binomial

(3x+2)(x+1)

Now, we can put it all together:

-3x^2-5x-2=-(3x+2)(x+1)

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lidiya [134]

<u>Given</u>:

The given expression is a^2x^2-2cx^2+a^2y-2cy

We need to determine the expression that is equivalent to the given expression.

<u>Equivalent expression:</u>

The equivalent expression can be determined by solving the expression.

Let us solve the polynomial function by factoring.

First, we shall group the expression.

Thus, we get;

x^2(a^2-2c)+y(a^2-2c)

Factoring out the common term (a^2-2c), we get;

(x^2+y)(a^2-2c)

Thus, the expression that is equivalent to the expression a^2x^2-2cx^2+a^2y-2cy is (x^2+y)(a^2-2c)

Hence, the equivalent expression is (x^2+y)(a^2-2c)

Therefore, Option C is the correct answer.

8 0
3 years ago
Find all values of a such that (a-3)/sqrta=-sqrta
Mariana [72]

Answer:

From the Pythagorean theorem...

 

[ distance between (a, 7)  and  (2, 1) ]2   =   [a - 2]2  +  [7 - 1]2

 

And they tell us that the distance equals  3√5  , so

 

[  3√5 ]2   =   [a - 2]2  +  [7 - 1]2

 

45   =   [a - 2]2  +  36

 

9   =   [a - 2]2

 

±√9  =   a - 2

 

± 3   =   a - 2

 

± 3  +  2   =   a

 

a  =  3 + 2  =  5          or          a = -3 + 2  =  -1

 

and

 

5  +  -1   =   4

Step-by-step explanation:

hope dis helps

3 0
3 years ago
Determine the explicit formula for the geometric sequence represented by the graph.
Alex_Xolod [135]

Answer:

B

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Please show your work! Brainliest if you do!
gavmur [86]

Answer:

\frac{4x+8}{5x-5}

Step-by-step explanation:

*photo attached*

4 0
4 years ago
bill has 2.4m of ribbon for crafts. He wants to share it evenly with 12 friends. How many centimeters of ribbon would 7 friends
Mila [183]

Answer:

2.4 * 7/13 = 1.292 m (if Bill get a piece of ribbon)

2.4 * 7/12 = 1.4 m (if Bill do not get a piece of ribbon)


5 0
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