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xxMikexx [17]
4 years ago
6

What is the complete factorization of the polynomial below? x3 - 3x2 + x - 3

Mathematics
1 answer:
stira [4]4 years ago
4 0
X^2(x-3)+1(x-3)=0
(x^2+1)(x-3)=0
so
x=1 and x= no real roots

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Triangle HKJ is inscribed in the circle as shown. If the triangle is a right triangle, what can you conclude about HJ?
kifflom [539]

Answer:

HJ is diameter.

Step-by-step explanation:

Given Triangle HKJ is inscribed in the circle. we have to conclude about HJ if the triangle is a right triangle.

All the three sides are chord of the circle.

As given HKJ is right angled triangle i.e∠HKJ=90° and angle subtended by diameter in the semicircle is 90° implies HJ is diameter because if the HJ moves towards the angle then the given angle becomes acute and if moves away from the angle then the angle becomes obtuse which contradict the given information.

hence, the only possibility about the line HJ is that it is a diameter.


7 0
3 years ago
Square Root
Oxana [17]

Answer:

1).(x+\frac{1}{4})^{2}=\frac{4}{9}

2).x+\frac{1}{4}=\pm \frac{2}{3}

Step-by-step explanation:

Here the given equation is x^{2}+\frac{1}{2}x+\frac{1}{16}=\frac{4}{9}

We have to factor the perfect square trinomial on the left side of the equation

So left side of the equation is x^{2}+\frac{1}{2}x+\frac{1}{16}

= x^{2}+2\times \frac{1}{4}x+(\frac{1}{4})^{2}

=(x+\frac{1}{4})^{2}    since [(a+b)²= a²+b²+2ab]

Therefore the factorial form of the equation will be

(x+\frac{1}{4})^{2}=\frac{4}{9}

Now we have to solve the equation by applying square root property

\sqrt{(x+\frac{1}{4})^{2}}=\sqrt{\frac{4}{9}}

x+\frac{1}{4}=\pm \frac{2}{3}

5 0
3 years ago
Read 2 more answers
Resolve 3x-1÷(x+1)^2 into partial fraction<br>​
garri49 [273]

9514 1404 393

Answer:

  3/(x +1) -4/(x +1)^2

Step-by-step explanation:

The partial fraction expansion will be of the form ...

  A/(x+1)^2 +B/(x+1)

We can find the values of A and B by writing the sum of these terms:

  = (A +B(x +1))/(x +1)^2

Then we require ...

  B = 3

  A +B = -1   ⇒   A = -4

So, the desired expansion is ...

  3/(x +1) -4/(x +1)^2

4 0
3 years ago
Help asap<br> missing work
lidiya [134]

Answer:

32

Step-by-step explanation:

In ΔLMK

short leg /long leg = 18/24

In ΔLMJ

short leg /long leg = 24/JK

Now we make them equal

(18/24) = (24/JK), cross multiply

  18·JK = 24², divide both sides by 18

      JK = 24²/18

     JK = 32

7 0
2 years ago
Trey runs each lap in 8 minutes. He will run at least 9 laps today. What are the possible numbers of minutes he will run today?
Yakvenalex [24]

Answer:

72\leqt

Solution:

8(9)\leq t

If he can run more than 9 laps today, but might not, then the total number of minutes can be more then or equal to nine laps.

3 0
2 years ago
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