Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
Answer:
Step-by-step explanation:
band alone 11
choir alone 17
band and choir alone 4
band and math alone 7
math and choir alone 6
band choir and math 3
math alone 9 from 11+4+10+6+17 + M = 57
so
2 classes = 4+7+6 = 17
17 students take exactly two classes with Mr. Green
Answer:
88
Step-by-step explanation:
86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.
Answer: Dimensions of A are of length [L]
Dimensions of B are of
Dimensions of C are of
Step-by-step explanation:
The given equation is
Since the dimension on the L.H.S of the equation is [L] , each of the terms on the right hand side should also have dimension of length[L] to be dimensionally valid
Thus
Dimensions of A = [L]
Dimensions of Bt = [L]
Similarly
Dimensions of
The value of f(2) is -2 ⇒ 1st answer
Step-by-step explanation:
The form of the quadratic function is;
f(x) = ax² + bx + c, where
- a is the coefficient of x²
- b is the coefficient of x
- c is the numerical term
- x is the domain of the function and f(x) is the range of the function
∵ f(x) = -5x² - x + 20
- f(2) means value f(x) at x = 2
∵ x = 2
- Substitute x in the function by 2 to find f(2)
∵ f(2) = -5(2)² - (2) + 20
∴ f(2) = -5(4) - 2 + 20
∴ f(2) = -20 - 2 + 20
∴ f(2) = -2
The value of f(2) is -2
Learn more:
You can learn more about the function in brainly.com/question/12363217
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