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PIT_PIT [208]
4 years ago
12

Is (x+7) a factor of f(x)= x^3-3x^2+2x-8

Mathematics
1 answer:
nikklg [1K]4 years ago
6 0

Answer:

Step-by-step explanation:

Use synthetic division to answer this.  If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div.  This comes from the factor (x + 7):

-7   /    1    3     2     -8

               -7   28  -210

     -------------------------

         1      -4   30   -218

Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

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Find the measure of the missing value in the
kumpel [21]

Answer:

12.6

Step-by-step explanation:

The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,

left triangle : right triangle

ratio = 25 : 17.5

The bottom sides are also in the same ratio.

ratio = 18 : w

Write a proportion by setting the ratios equal and solve for w.

25/17.5 = 18/w

Cross multiply.

25w = 17.5 * 18

25w = 315

w = 12.6

Answer: 12.6

4 0
3 years ago
Write an equation and solve each problem. The ages of three brothers are consecutive integers with the sum of 96. How old are th
Alexxx [7]

Hi,

Let  the

Youngest brothers age = x+2

Middle brothers age = x+4

Oldest brothers age = x+6  

So,

Youngest brothers age = x+2 = 28+2 = 30 years of age

Middle brothers age = x+4 = 28+4 = 32 years of age

Oldest brothers age = x+6 = 28+6 = 34 years of age

Have a great day!

4 0
3 years ago
Use the real zeros to factor f x^4 plus 10^3 minus 20x^2 minus 90x plus 99
Furkat [3]

Answer:

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

Step-by-step explanation:

f(x) = x⁴ + 10x³ − 20x² − 90x + 99

f(x) is a fourth order polynomial, so it has 4 roots.  Use rational root theorem to find possible rational roots.

±99, ±11, ±9, ±3, ±1

By trial and error, the zeros are -11, -3, 1, and 3.

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

7 0
3 years ago
30 yards = how many feet?
mrs_skeptik [129]

30 yards = 90 ft

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8 0
4 years ago
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liberstina [14]
Consecutive interior theorem

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7 0
3 years ago
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