<span>(2m - n)</span>⁷ can be expanded using the binomial theorem or pascal's triangle, but writing out the work is proving to be really difficult. the application of the theorem is pretty complicated and it isn't easy to format in this textbox.
the expansion of this would be 128m⁷ - 448m⁶n + 672m⁵n² - 560m⁴n³ + 280m³n⁴ - 84m²n⁵ + 14mn⁶ - n⁷. let me know if you're genuinely lost on how to find it and i'll give a written explanation a shot, but i'd really, really encourage you to refer back to your notes if you took any in class (or the lesson, if it's an online class) and see if you can find anything which explains the binomial theorem or pascal's triangle. both of those will help you immensely.
<em>Step #1: </em>
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].
Yours is already in that form.
A = 1
B = 2
C = -2
<em>Step #2:</em>
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.
-- If the discriminant is zero, then the left side of the equation is a perfect square,
and both roots are equal.
-- If the discriminant is greater than zero, the the roots are real and not equal.
-- If the discriminant is less than zero, then the roots are complex numbers.
The discriminant of your equation is [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12
Your equation has two real, unequal roots.
Answer:
No she didn't
Step-by-step explanation:
Add the total cost of the food and divide by 6. You'll find that she is short
Answer:
30 = 2x + 3y
Step-by-step explanation:
x is the number of pens bought and y is the number of notbooks bought you graph this and you get a graph that shows you all the combinations.
The factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
<h3>
What is a factor?</h3>
A factor is a number that completely divides another number.
In other words, since the result may be divided by the two whole numbers we are multiplying, they are factors of the result if multiplying two whole numbers produces a result.
The numbers that can divide a number exactly are called factors.
There is none left over after division as a result.
The numbers you multiply together to produce another number are called factors.
A factor is hence the division of another number.
So, we have the expression: x³-5x²-2x+24
Now, calculate the factors as follows:
x³-5x²-2x+24
We already know that: P(-2) = 0
Hence, x+2 is a factor.
Now, other factors are: x² - 7x + 12
x² + 4x + 3x + 12
(x - 3)(x - 4)
Therefore, the factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
Know more about the factors here:
brainly.com/question/24351176
#SPJ4
Correct question:
What is the factor of x³-5x²-2x+24?
