Answer:
f(x) = x^3 - x^2 -2x
Step-by-step explanation:
If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.
The factors of the given polynomial are;
x - 2
x + 1
x
Multiplying the first two factors;
(x-2)(x+1) = x^2 + x -2x -2
= x^2 -x -2
We finally multiply this result by x to obtain our polynomial;
f(x) = x ( x^2 -x -2)
= x^3 - x^2 -2x
which is a cubic polynomial since it has 3 roots.
Answer:
no i took the test
Step-by-step explanation:
Which set of side lengths, in inches, will form a triangle? a 3.5, 7.2, and 3.0 b 10.0, 4.6, and 5.3 c 5.5, 4,9, and 10.5 d 3.2,
stealth61 [152]
Answer:
The correct answer is D
Step-by-step explanation:
To form a triangle, the sum of ANY two sides of the triangle must be greater than the length of the third side.
Looking at the first: 3.5+3.0 = 6.5 < 7.2, therefore it can't form a triangle since the sum of a pair of sides is less than the third side.
Looking at the second: 4.6 + 5.3 = 9.9 < 10.0, it's the same as the first.
Looking at the third: 5.5 + 4.9 = 10.4 < 10.5, it's the same as the first and second.
Looking at the last: 3.2 + 5.9 = 9.1 > 4.5, 3.2 + 4
5 = 7.7 > 5.9 and 5.9 + 4.5 = 10.4 > 3.2. Obviously, this fulfils the condition of a triangle. Any two sides is greater than the third, therefore the correct answer is D.
Answer:
y = 4/3x - 3
Step-by-step explanation:
Use the slope intercept equation, y = mx + b, where m is the slope and b is the y intercept:
Plug in the point given and the slope to find b:
y = mx + b
1 = 4/3(3) + b
1 = 4 + b
-3 = b
Then, plug this and the slope into the equation:
y = 4/3x - 3 will be the equation
