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alexdok [17]
3 years ago
8

In a class, the teacher asks each person wearing red to name his or her

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Evaluating a sample.

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What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
3 0
3 years ago
Write down the next term in each of the following sequences
Archy [21]
Answer is:
a) 32
b) 59
Both are arithmetic sequences
4 0
3 years ago
Read 2 more answers
Help with question 5,9, and 13. It would be a big help.
solniwko [45]
I am using "x" but alphabet letter does not matter.

#9

Words: x is greater than or equal to -4
Algebra: x ≥ -4
Possible solutions: 0,1,2

#13

Words: x is greater than 0
Algebra: x > 0
Possible solutions: 1,2,3
3 0
3 years ago
PLLLLLLEEEEAAAAAAASSSSSSEEEEEE HEEELLLLLPPPPPP
uysha [10]
1.-5*2+10=0 : this is the answer

2. 1-5(7)=-34 =/= 4
1-10=-9 =/= 1
-4(7)+3=-25 =/= 1
-7+8=1 : this is the answer

3. the slope is \frac{-10-(-5)}{-9-(-2)}= \frac{5}{7}. Answer C
8 0
2 years ago
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For problem 2,f(2) =
just olya [345]

Answer:

4f

Step-by-step explanation:

Simplify & Multiply :)

6 0
3 years ago
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