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Nezavi [6.7K]
3 years ago
14

What is the product of the polynomials x2-5 and x3 - 6?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
7 0

Step-by-step explanation:

Please refer to the attachment

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Select correct answer
Sergio [31]

Answer:

The values of p in the equation are 0 and 6

Step-by-step explanation:

First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p

2

−7p−4=(2p+1)(p−4)

So then the equation looks like:

\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}

2p+1

p

−

(2p+1)(p−4)

2p

2

+5

=−

p−4

5

To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:

\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}

(2p+1)(p−4)

p

2

−4p

−

(2p+1)(p−4)

2p

2

+5

=−

(p−4)(2p+1)

10p+5

Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.

(p^2-4p)-(2p^2+5)=-(10p+5)(p

2

−4p)−(2p

2

+5)=−(10p+5)

Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p

2

−4p)−(2p

2

+5) first:

(p^2-4p)-(2p^2+5)=-p^2-4p-5(p

2

−4p)−(2p

2

+5)=−p

2

−4p−5

-p^2-4p-5=-10p+5−p

2

−4p−5=−10p+5

Combine like terms:

-p^2-4p+0=-10p−p

2

−4p+0=−10p

-p^2+6p=0−p

2

+6p=0

Factor:

p=0, p=6p

7 0
3 years ago
Read 2 more answers
If the ratio of perimeters of two similar figures is 2/3, what is the ratio of the areas?
Alexxx [7]
2/3 as well because you use perimeter to find area
5 0
3 years ago
Read 2 more answers
Please help lots of points
Colt1911 [192]

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

4 0
3 years ago
Read 2 more answers
Which expressions are equal to 0 when x = -1? Check all that apply.
Sphinxa [80]

Answer:

A C and E

Step-by-step explanation:

6 0
3 years ago
I have a number between 60 and 80. I have a remainder of 3 when divided by 4. I have a remainder of 1 when divided by 7. What nu
Murljashka [212]

Answer:

71

Step-by-step explanation:

Divide 71 by 7 and you get 10 and 1 leftover. Divide 71 by 4 and you get 17 with 3 leftover.

6 0
3 years ago
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