Find the quotient of the quantity negative 5 times x to the 3rd power plus 20 times x to the 2nd power minus 25 times x all over
negative 5 times x.
2 answers:
Answer:
Option 2. (x²- 4x + 5) is the quotient.
Step-by-step explanation:
We have to find the quotient of .
Now we will factorize numerator as
(-5x³ + 20x² -25x) = -(5x³ - 20x² +25x) = -5x(x² - 4x + 5)
Now we can easily divide this term by the term given in the denominator.
= -5x(x² - 4x +5)/(-5x)
Therefore the quotient will be (x²- 4x + 5).
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Answer:
Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2