- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Commission of the employee = 16%
Step-by-step explanation:
It is given that:
Amount kept by gym = $42
Amount given to employee = $8
Total fee = 42 + 8 = $50
Commission rate = 
Commission rate = 
Commission rate = 0.16 * 100 = 16%
Therefore,
Commission of the employee = 16%
Terms: 3n, 5p, 2, n
Like Terms: 3n, n
Coefficients: 3, 5, 1
Constants: 2
Simplified Expression: 4n + 5p + 2
Answer:
Noncollinear points
Step-by-step explanation:
Collinear points lie on the same line. Noncollinear points are the opposite.
Answer:

Step-by-step explanation:

Opposite = BC ,
Adjacent = AB = x = 3 ,
Hypotenuse = AC = y = 22
<em><u>Using trigonometric ratios.</u></em>

Since we have adjacent and hypotenuse we use cosine's ratio
to find the angle.
