Answer:
Step-by-step explanation:
Given:
The expression to factor is given as:
In order to factor it, we write the factors of each of the terms of the given polynomial. So,
The factors of the three terms are:
Now, 'x' is a common factor for all the three terms. So, we factor it out. This gives,
Now, we know a identity which is given as:
Here, can be rewritten as
So,
Thus,
Therefore, the complete factorization of the given expression is:
-The polynomial has 5 terms.
-The leading coefficient is -2.
-The degree of the polynomial is 7.
-The constant term is 4.
Step-by-step explanation:
A polynomial is an expression which has many terms. Each term is separated by addition or subtraction. The standard form of a polynomial is and is written in descending order by exponent. The highest exponent is known as the degree of the polynomial. The leading term at the beginning has a leading coefficient.
Using the information above, select what applies for -2xy^5+3x^7-10x^3y^6+8x^6+4.
-The polynomial has 5 terms.
-The leading coefficient is -2.
-The degree of the polynomial is 7.
-The constant term is 4.
-The polynomial is in decreasing degree order.
Answer:
1) 287.97; 2) 75.396 [in³].
Step-by-step explanation:
1) the rule:
V=1/3 *πhr²;
2) according to the formula above:
V₁=1/3 *3.1415*11*5²=287.97 [in³];
V₂=1/3 *3.1415*8*3²=75.396 [in³].
1/18 is the probablity of picking a black marble