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Butoxors [25]
3 years ago
7

Factor x^3 -7x^2 -5x+35 by grouping. what is the resulting expression

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

(x-7) (x^2-5)

Step-by-step explanation:

x^3 -7x^2 -5x+35

Make 2 groups

x^3 -7x^2      -5x+35

Factor x^2 from the first group and -5 from the second group

x^2 (x-7)       -5(x-7)

Now factor (x-7) out

(x-7) (x^2-5)

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The average distance of the sun from Earth is about 1.5 x 108 kilometers.
Nataliya [291]

Answer:

10⁵ billion

Step-by-step explanation:

given that distance from sun to earth

= 1.5 x 10⁸ km    (we need to convert this to millimeters)

= 1.5 x 10⁸ km x  1 million mm per km

= 1.5 x 10⁸ km x  1,000,000 mm/km

= 1.5 x 10⁸ km x  10⁶ mm/km

= 1.5 x 10⁸ x  10⁶

= 1.5 x 10⁽⁸ ⁺ ⁶⁾

= 1.5 x 10¹⁴ mm

also given that a quarter is 1.5mm thick, hence the number of quarters that will span the distance between the sun an earth (i.e 1.5 x 10¹⁴ mm)

= 1.5 x 10¹⁴ mm ÷ 1.5 mm/quarter

= 10¹⁴

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= 100,000 billion

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7 0
3 years ago
Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (
Vladimir79 [104]

Answer:

Factors: (x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

Step-by-step explanation:

We are given a polynomial:

f(x)=x^4-x^3-2x-4

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

8 0
3 years ago
In 45 years, Gabriel will be 4 times as old as she is right now <br> How old is she right now?
Brut [27]

Answer:

She is 11.25 years old.

Step-by-step explanation:

I just did 45 divided by 4.

3 0
3 years ago
The model below can be used to find the quotient of one over two divided by one over six. What is the quotient?
VLD [36.1K]

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i like it is 1/2 can you make smaller hope this help

Step-by-step explanation:

3 0
3 years ago
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