1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
deff fn [24]
3 years ago
8

1. (a) Show that the polynomial x⁴+ 4x³ + 6x² - 8 is divisible by x+2​

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

Step-by-step explanation:

if x= -2

and P(x)=x^4+4x^3+6x^2-8

then P(-2)=(-2)^4+4*(-2)^3+6*(-2)^2-8=16-32+24-8=0

so P(x)=(x+2)* Q(x)   and P(x) is divisible by x+2

You might be interested in
Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5
MatroZZZ [7]

Step-by-step explanation:

Let's make the number we're finding to be a. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be \frac{a}{4} +12\\. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be \frac{a}{3} -5\\. Since they are the same, we have the equation below.

\frac{a}{4} +12 = \frac{a}{3} -5\\

All we have to do now is to find a.

\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204

<h3>Answer:</h3>

Our number must be 204. I think

5 0
4 years ago
Which is a true statement about an isosceles right triangle?
AnnyKZ [126]

Let l be the length of a leg. Using the pythagorean theorem, the hypotenuse is

h = \sqrt{l^2+l^2}=\sqrt{2l^2}=l\sqrt{2}

So, the hypotenuse is \sqrt{2} times as long as either leg.

6 0
3 years ago
Which of the following have both 2 and -5 as solutions.
Stella [2.4K]
x_1=2;\ x_2=-5\\\\(x-2)(x-(-5))=(x-2)(x+5)=x^2+5x-2x-10=x^2+3x-10\\\\Answer:a.
3 0
4 years ago
Read 2 more answers
Someone please help me with the question above. It uses the words ‘income tax’ and I have a hard time understanding the differen
lesya [120]

Step-by-step explanation:

incone tax means the money u get as income from tax and tax payable is the tax needed to be to payed

6 0
3 years ago
Please help me with this!<br><br><br> show that {1,2} ⊆ {x|x^4 - x^3 - x^2 - 5x + 6 = 0}
Llana [10]

The set \{x\mid x^4-x^3-x^2-6x+6=0\} is the set of all values of x that are solutions to the given equation. So all you need to do is check whether x=1 and x=2 satisfy the equation.

x=1\implies 1^4-1^3-1^2-5+6=0

x=2\implies2^4-2^3-2^2-10+6=0

The equation holds, so both 1 and 2 are solutions, and hence \{1,2\} is a subset of the solutions.

6 0
3 years ago
Other questions:
  • What is the value of z in the equation 3z − 7 = 14? (4 points)
    8·1 answer
  • The measures of 6 of the interior angles of a heptagon are: 120°, 150°, 135°, 170°, 90°, and 125°. What is the measure of the la
    6·1 answer
  • 8 (2x - 3) - 6x? what the answer
    6·2 answers
  • Nicole reduced the size of a rectangle to a
    9·1 answer
  • A total of 450 theater tickets were sold. Student tickets cost $3 and adult tickets cost $5. If the total receipts were $2000, h
    5·1 answer
  • Nicole wants to paint this figure on her wall in her bedroom. If paint cost $4.59 per square unit, how many square feet of paint
    15·1 answer
  • Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equ
    7·2 answers
  • Helpppp I will give brainliest <br><br> Thanks
    12·2 answers
  • Help pls if u know, what are the coordinates
    12·1 answer
  • POSSIBLE POINTS: 8
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!