All categories

3 years ago

F(x) = (x^3)-(3x^2)-3x+1 factor please

Mathematics

1 answer:

Anni [7]3 years ago

5 0

Answer:

(x+1)(x²-4x+1)

Step-by-step explanation:

f(x) = x³-3x²-3x+1

= (x³+1) - 3x (x+1)

= (x+1)(x²-x+1) - 3x(x+1)

= (x+1)(x²-x+1-3x)

= <u>(x+1)(x²-4x+1)</u>

<u />

** (x+1)(x²-4x+1) = (x+1)((x-2)² - 3)

= (x+1)((x-2)² - (√3)²)

= (x+1)(x-2-√3)(x-2+√3)

You might be interested in

I need help with this question hurry too pls

Diano4ka-milaya [45]

Only 7 students have 2 class with mr.green

5 0

4 years ago

If the difference of the measures of two complementary angle is 120, then the angles will be A. 550, 350 B. 510, 390 C. 520, 380

Tatiana [17]

Answer:

We know, two angles are said to be complementary, if the sum of their measures is 90

∘

Let the angle be x

∘

and its complement is 90

∘

−x

∘

Then, according to the statement,

⇒x

∘

−(90

∘

−x

∘

)=12

∘

⇒x

∘

−90

∘

=12

∘

⇒2x

∘

=12

∘

+90

∘

=102

∘

⇒x

∘

102

∘

=51

∘

Hence, the measure of the angle is x=51

∘

and its complement is 90

−x=90

−51

=39

∘

7 0

3 years ago

Adequate Preparation for Retirement. In 2018, RAND Corporation researchers found that 71% of all individuals ages 66 to 69 are a

Svetllana [295]

Answer:

A - Hopes this helps.

Step-by-step explanation:

4 0

3 years ago

Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)

Dominik [7]

Answer:

y = Ax^2

Step-by-step explanation:

below is the detailed solution

To determine the orthogonal trajectories of the family of curves

X^2 + 2y^2 = 17k^2

we have to differentiateX^2 + 2y^2 = 17k^2 with respect to x

= 2x + 4y dy/dx = 0

Hence : dy/dx = - x/2y

we have to determine the negative reciprocal

dy/dx = 2y/x ----------- 1

integrate equation 1

∫dy/2y = ∫dx/x

= 1/2 log y = log x + log c

log y = 2logx + 2logc

log y = logx^2 + logC^2

therefore : y = Ax^2 ; where C^2 = A

8 0

3 years ago

EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell

expeople1 [14]

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= $32R+38D\leq 2100$

Total labor hours required

= $4R+6D\leq 280$

Sales revenue = $46R+55D$

Solving the two constraints we have

10D $\leq$ 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

5 0

4 years ago