Hello,
f(x)=x^3-11x²+40x-48
f(3)=3^3-11*3²+40*3-48=0
f(x)=(x-3)*(x-4)²
Answer D
Marta got the expression
![2x\cdot x^2 + 2x\cdot x + 2x\cdot (-2) + 3\cdot x^2 + 3\cdot x + 3\cdot (-2).](https://tex.z-dn.net/?f=2x%5Ccdot%20x%5E2%20%2B%202x%5Ccdot%20x%20%2B%202x%5Ccdot%20%28-2%29%20%2B%203%5Ccdot%20x%5E2%20%2B%203%5Ccdot%20x%20%2B%203%5Ccdot%20%28-2%29.)
First, note that
![2x\cdot x^2=2x^3,\\2x\cdot x=2x^2,\\2x\cdot (-2)=-4x,\\3\cdot x^2=3x^2,\\ 3\cdot x=3x,\\3\cdot (-2)=-6.](https://tex.z-dn.net/?f=2x%5Ccdot%20x%5E2%3D2x%5E3%2C%5C%5C2x%5Ccdot%20x%3D2x%5E2%2C%5C%5C2x%5Ccdot%20%28-2%29%3D-4x%2C%5C%5C3%5Ccdot%20x%5E2%3D3x%5E2%2C%5C%5C%203%5Ccdot%20x%3D3x%2C%5C%5C3%5Ccdot%20%28-2%29%3D-6.)
Then add terms with the same degree:
![2x^2+3x^2=5x^2,\\-4x+3x=-x.](https://tex.z-dn.net/?f=2x%5E2%2B3x%5E2%3D5x%5E2%2C%5C%5C-4x%2B3x%3D-x.)
At last,
![(2x+3)(x^2 + x - 2)=2x^3+5x^2-x-6.](https://tex.z-dn.net/?f=%282x%2B3%29%28x%5E2%20%2B%20x%20-%202%29%3D2x%5E3%2B5x%5E2-x-6.)
Answer: correct choice is C.
Answer:
<h2>1. A(-2, 3)</h2><h2>2. Quadrant III</h2>
Step-by-step explanation:
Look at the picture.
Coordinates of a point (x, y)
x - from x-axis
y - from y-axis
Answer:
B. 18/48 and 21/56
C. 20/28 and 15/18
Step-by-step explanation:
Simplifying 18/48 = 3/8
Simplifying 21/56 = 3/8
Simplifying 20/ 28= 5/7
Simplifying 15/18 = 5/7
Answer:
Please where is the number line, if am to ask