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goldfiish [28.3K]
3 years ago
8

if x-1 is a factor of P(x)=x^3- 5x^2 + 7x-3 which of the following represents the complete factorization for P(x)?​

Mathematics
1 answer:
kozerog [31]3 years ago
3 0

Answer:

P(x) =  (x-1)² (x-3)

Step-by-step explanation:

P(x)=x³- 5x² + 7x-3 = x² (x-1) - 4x(x-1) + 3(x-1) = (x²-4x+3)(x-1)

P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)

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The fifth graders to plant a butterfly garden. Clover grows in ½ of the garden, daisies in ¼ of the garden, coneflowers in ⅛ of
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Answer:

Fraction of the garden used =  \frac{5}{8}

Step-by-step explanation:

The fifth graders to plant a butterfly garden.

We are given that

Clover grows in ½ of the garden

Daisies grow in ¼ of the garden

Coneflowers grow in ⅛ of the garden

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The fifth graders notice that the butterflies land on the clover and milkweed.

We are asked to find out the fraction of the garden that the butterflies used.

Fraction of the garden used = clover + milkweed

Fraction of the garden used =  \frac{1}{2} + \frac{1}{8}

The LCM of 2 and 8 is 8

Fraction of the garden used =  \frac{4 +1}{8}

Fraction of the garden used =  \frac{5}{8}

Therefore, the butterflies used \frac{5}{8} fraction of the garden.

6 0
3 years ago
Please help.<br> Explain please.
Sunny_sXe [5.5K]
When n = 1, 2(1) + 1 = 3

When n = 2, 2(2) + 1 = 5

When n = 3, 2(3) + 1 = 7

When n = 4, 2(4) + 1 = 9

When n = 5, 2(5) + 1 = 11

Sum = 3 + 5 + 7 + 9 + 11 = 35

----------------------------------------------------
Answer: 35
----------------------------------------------------
4 0
3 years ago
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A rectangular pyramid is sliced so the cross section is perpendicular to its base but does not pass through its vertex.
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Answer:

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Step-by-step explanation:

the cross sectional area is the shape at the bottom

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Stolb23 [73]

Answer:

1/√5+√3= 1/√5+√3×√5-√3/√5-√3 = √5-√3/(√5)^2-(√3)^2 {(a+b)(a-b)= (a)^2-(b)^2} =√5-√3/5-3 =√5-√3/2 ans... Do you satisfied to my given answer

Step-by-step explanation:

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