I believe the answer might be 144
Y=3(x²+10x)+71
Now we need to complete square for (x²+10)
It should look like this
a²+2ab+b²=(a+b)²
y=3(x²+2*5x+5²)-3*5²+71
y=3(x+5)²-75+71
y=3(x+5)²-4
Vertex has coordinates x=-5, y=-4.
Vertex in this case is the extreme value (-5,-4)
The polynomial is:
12 x³ - 6 x² + 8 x - 4
Lucas:
( 12 x³ + 8 x ) + ( - 6 x² - 4 ) = 4 x ( 3 x² + 2 ) - 2 ( 3 x² + 2 ) =
= ( 3 x² + 2 ) ( 4 x - 2 ) = 2 ( 3 x² + 2 ) ( 2 x - 1 )
Erick:
( 12 x³ - 6 x² ) + ( 8 x - 4 ) = 6 x² ( 2 x - 1 ) + 4 ( 2 x - 1 ) =
= ( 2 x - 1 ) ( 6 x² + 4 ) = 2 ( 3 x² + 2 ) ( 2 x - 1 )
Answer:
Both students are correct. Each grouping leads to the same result.
9514 1404 393
Answer:
The equation has infinite solutions.
Step-by-step explanation:
When the same expression appears on both sides of the equal sign, the equation has an infinite number of solutions. It is true for all possible values of the variable.
x = x . . . . is true for all values of x