Answer:
x(x - 5)(x - 7)
Step-by-step explanation:
Given
x³ - 12x² + 35x ← factor out common factor of x from each term
= x(x² - 12x + 35)
To factor the quadratic
Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)
The factors are - 5 and - 7, since
- 5 × - 7 = 35 and - 5 - 7 = - 12, thus
x² - 12x + 35 = (x - 5)(x - 7) and
x³ - 12x² + 35x = x(x - 5)(x - 7) ← in factored form
Answer: The attendance before the increase was 4712.
Step-by-step explanation:
Let the attendance before the increase be 'x'.
Rate of increment = 5%
so, Attendance after increment becomes

Hence, the attendance before the increase was 4712.
Answer:
AB = 15
Step-by-step explanation:
Since AD and DC are congruent point D lies on the axis of AC
the axis of a segment divides it in two congruent segments, so AB congruent to BC
5x = 4x + 3
x = 3
AB = 5 * 3 = 15
Answer:
1 is the constant
Step-by-step explanation:
Answer:
x = -23
Step-by-step explanation: