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
uranmaximum [27]
3 years ago
7

use the function to answer the question. f(x)= x^3 + 5x^2 + 7x + 3 = (x+1)(x+1)(x+3) what is the multiplicity of the root -1? I

keep seeing answers for the multiplicity of 1, but not for -1. Thanks!
Mathematics
1 answer:
miskamm [114]3 years ago
6 0

Since f(x)=(x+1)^2(x+3) it follows that x=-1 is a root of multiplicity 2.

You might be interested in
I need help please and thank you ( show your work please)
Bas_tet [7]

Answer:

y = 2x

Step-by-step explanation:

Use Rise over Run. The rise(up/down) is 2 and the run(sideways) is 1. The slope is going up, not down so the 2 is positive. So, it is positive 2/1, which you can write as 2.

7 0
2 years ago
Rhombus EFGH is shown. What is the measure of ∠HGJ?
MaRussiya [10]

Answer:

∠HGJ = 35°

Step-by-step explanation:

Although the question is somewhat incomplete, I have tried to reconstruct the question as much as possible to aid understanding (attached is the pictorial representation of the rhombus).

Firstly, it is important to note that rhombuses are parallelograms which have all sides equal and whose diagonals are perpendicular to each other. In addition to this, their diagonals bisect one other.

Mathematically, |EF| = |FG| = |GH| = |HE|

Another property which rhombuses have is that their opposite angles are equal.

Mathematically, ∠E = ∠G, ∠H = ∠F

The adjacent angles in a rhombus are supplementary. This means that the sum of angles closest to each other is 180°.

Mathematically, ∠E + ∠F = 180°, ∠F + ∠G = 180°, ∠G + ∠H = 180°,

∠H + ∠E = 180°

The question gave us ∠GHE and asked us to find ∠HGJ (denoted as θ in the picture attached). Note that ∠GHE means ∠H. That is, ∠GHE ⇒ ∠H

∠GHE or ∠H = 110°

From the properties of rhombuses (earlier stated), we know that adjacent angles in a rhombus are supplementary

Mathematically,

∠GHE + ∠FGH ⇒ 110° + ∠FGH = 180° ⇒ ∠FGH = 180° - 110°

∠FGH or ∠G = 70°

To calculate for ∠HGJ, we divide ∠FGH by 2, we have:

∠HGJ = ∠FGH ÷ 2 = 70° ÷ 2

∠HGJ = 35°

3 0
3 years ago
A line that divides a shape into two equal parts is called ​
umka21 [38]

the answer is line symmetry

3 0
3 years ago
Select all of the rigid motions below.
dedylja [7]
Reflection, translation, rotation
5 0
3 years ago
Explain one of the theorems that you would use to find the zero of higher degree polynomial
Genrish500 [490]
The zeros of a function f(x) are the values of x that cause f(x) to be equal to zero
One of methods to find the zeros of polynomial functions is The Factor Theorem

It is used to analyze polynomial equations. By it we can know that there is a relation between factors and zeros.

let:  f(x)=(x−c)q(x)+r(x)

If c is one of the zeros of the function , then the remainder r(x) = f(c) =0
 and f(x)=(x−c)q(x)+0 or f(x)=(x−c)q(x)

Notice, written in this form, x – c is a factor of f(x)
the conclusion is:  if c is one of the zeros of the function of f(x),
then x−c is a factor of f(x)

And vice versa , if (x−c) is a factor of f(x), then the remainder of the Division Algorithm f(x)=(x−c)q(x)+r(x)  is 0. This tells us that c is a zero for the function.

So, we can use the Factor Theorem to completely factor a polynomial of degree n into the product of n factors. Once the polynomial has been completely factored, we can easily determine the zeros of the polynomial.

8 0
3 years ago
Other questions:
  • WILL GIVE BRAINLIEST IF CORRECT!!
    11·1 answer
  • The team must score an additional 6 points to win the game. There are 10 more chances to score one point.
    14·1 answer
  • Helppp plzzzzz mathhh
    11·1 answer
  • Kareem purchased several packs of gum to place in gift baskets for $1.26 each. He spent a total of $8.82. How many packs of gum
    14·1 answer
  • Rachel rides her biycle 12 kilometers due south from her home. Then she turns and rides 9 kilometets due west. How far is rachel
    9·2 answers
  • Please answer this, I’m a bit confused...
    14·1 answer
  • Which graph shows a set of ordered pairs that represents a function?
    8·1 answer
  • Segment XY is transformed using rigid transformation to get segment X′Y′ as shown in the graph.
    7·2 answers
  • Use pascal's triangle to expand the binomial (x+3)^4
    5·1 answer
  • Frr3 po1nts<br>frr3 po11nts hurry and answer​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!