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2 years ago

What is -2m^2-2mn+8-10m+10n+mn+4n^2-5n simplify to

1 answer:

4 0

Find like terms and group them
3n and 5n are same and 4n^2 and 4n^2 are same
but 3mn and 5n are not and 3n and 2n^3 are not

group like terms
(-2m^2)+(-2mn+1mn)+(8)+(-10m)+(10n-5n)+(2n^2)
add like terms
(-2m^2)+(-mn)+(8)+(-10m)+(5n)+(2n^2)
-2m^2+2n^2-10m+5n-mn+8 is simplest form

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Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).

ioda

Answer:

f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}. We perform synthetic division using the given -7 as divisor:

-7 / 4 11 -104 105

-28 119 -105

-----------------------------------

4 -17 15 0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x). The coefficients of the quotient (above) are {4, -17, 15}. Let's try factoring the corresponding polynomial again using synthetic division. Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5 / 4 -17 15

20 15

-------------------------

4 3 30 No, the remainder is 30 and so 5 is not a

root of this quadratic. Try the divisor 3 instead:

3 / 4 -17 15

12 -15

---------------------------

4 -5 0 Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5). Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.

8 0

2 years ago

Solve by taking the square root I need help understanding steps this is hard for me.

Shalnov [3]

Answer:

x= $-2 \pm \sqrt{13}$

Step-by-step explanation:

Given: $3x^{2} -12x+27= 0$

This is a quadratic equation.

$3x^{2} -12x+27= 0$

Taking common 3 from the equation given

⇒ $3(x^{2} -4x+9)=0$

dividing both side by 3

⇒ $x^{2} -4x+9=0$

By using different factor, we can observe this trinomial can not be factored.

∴ solving it by completing the square.

⇒ $x^{2} -4x+9=0$

adding 9 on both side

⇒ $x^{2} -4x= 9$

To get a perfect square number as coeffecient of x is 4, lets add both side by 4.

⇒ $x^{2} -4x+4= 13$

we know, $(x+2)^{2} = x^{2} +2\times x\times 2+2^{2}$

∴ $(x+2)^{2} =13$

Taking Square root on both side, remember; √a²= a

⇒ $(x+2)= \sqrt{13}$

opening parenthesis

⇒ $x+2= \sqrt{13}$

subtracting both side by 2

∴ x= $-2 \pm \sqrt{13}$

7 0

2 years ago

Matching Equivalent Expressions

KiRa [710]

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2 years ago

Plot and connect the points A(4, 6), B(4, 0), C(1, -3), and D(1, 3), and find the area of the parallelogram formed.

fgiga [73]

I got C. 20 square units.

I could be wrong, but probably not. It was hard to figure out what the plot numbers were and the answer choices because the picture was super blurry. That's why I said I might be wrong.

Hope this helps!! :-)

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2 years ago

Read 2 more answers

Slope intercept form,<br> 4x-2y=18

anyanavicka [17]

Answer:

x=9/2+y/2

Hope this helped

7 0

2 years ago