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Tamiku [17]
3 years ago
12

Let's start form the product `x^{2}+11x+30,` and get back to the binomials we started with. Show your steps.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Answer:

Then, the polynomial x^{2}+11\cdot x + 30 is equal to the product of the binomials (x+5) and (x+6).

Step-by-step explanation:

The polynomial x^{2}+11\cdot x + 30 is a polynomial of the form x^{2} - (r_{1}+r_{2})\cdot x + r_{1}\cdot r_{2} = (x-r_{1})\cdot (x-r_{2}), where r_{1} and r_{2} are the roots of the polynomial. Then, we find the following system of equations:

-r_{1}-r_{2} = 11 (1)

r_{1}\cdot r_{2} = 30 (2)

After some algebraic handling, the solution of this system is r_{1} = -5 and r_{2} = -6.

Then, the polynomial x^{2}+11\cdot x + 30 is equal to the product of the binomials (x+5) and (x+6).

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Answer:

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and width overall would be 6 + 2x (width of garden + x of one side + x of other side)

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:))) smile....

I hope it is correct.

Step-by-step explanation:

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