(m - 3)(m + 5)= 0
m= {3, -5}
Answer:
Option (b) is correct.
The expression is equivalent, but the term is not completely factored.
Step-by-step explanation:
Given : a student factors to
We have to choose the correct statement about from the given options.
Given is factored to
Consider
Using algebraic identity,
comparing and b = 4, we have,
Thus, the factorization is equivalent but we can simplify it further also, as
Using algebraic identity,
Thus,
Can be written as
Thus, the expression is equivalent, but the term is not completely factored.
Option (b) is correct.
Answer:
247.03125
Step-by-step explanation:
Subtract: 2000 - 23.75 = 1976.25
Divide: 1976.25 / 8 = 247.03125
Hope this helps!
Answer:
Step-by-step explanation:
f(x) = x⁵ – 8x⁴ + 16x³
As x approaches +∞, the highest term, x⁵, approaches +∞.
As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).
Now let's factor:
f(x) = x³ (x² – 8x + 16)
f(x) = x³ (x – 4)²
f(x) has roots at x=0 and x=4. x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.
The graph crosses the x-axis at x=0.
