f(x) = x3 + 4x2 − x − 4
f(x) = x3 + 3x2 − 4x − 12
f(x) = x3 + 2x2 − 4x − 8
Answer:
Step-by-step explanation:
From the graph, the x-intercepts are;
These are root of the polynomial function represented by the given graph.
By the remainder theorem;
According to the factor theorem, if is a factor of , then
This implies that;
are factors of the required function.
Hence;
We expand using difference of two squares to obtain;
We expand using the distributive property to get;
Rewrite in standard form to obtain;
Answer:
Choice A: f(x) = x^3 + x^2 − 4x − 4
Step-by-step explanation:
Here's a great and simple answer.
Ok first we need to take the x intercepts to solve.
If we look at the graph we see the x ints are -2,+1 and +2.
To solve we need to put them into factor form
= (x-2) (x+2) and (x+1)
Simplify: (x-2) (x+2) = (x^2-4) and (x+1)
Now we take (x^2-4) and (x+1) and multiply them to find our answer
(x^2-4) (x+1)
= x^2(x) and x^2(1) = x^3 and x^2.
now the other: -4(x) and -4(+1) = -4x and -4
We have nothing common here so we just join them
= x^3 + x^2 - 4x - 4, and that is the same as choice A.
Arrays are useful representations of multiplication concepts of the commutative property.
We need to find how can you use an array to show the commutative property.
The word 'commutative' originates from the word 'commute', which means to move around. Hence, the commutative property deals with moving the numbers around. So mathematically, if changing the order of the operands does not change the result of the arithmetic operation then that particular arithmetic operation is commutative.
An arrangement of objects, pictures, or numbers in rows and columns is called an array. Arrays are useful representations of multiplicationconcepts (among other ideas in mathematics).
The commutative property of multiplication can be neatly illustrated using an array. For example, the array above could be read as 2 rows of 6, or as 6 columns of 2. Or the array could be physically turned around to show that 2 rows of 6 have the same number as 6 rows of 2.
Therefore, arrays are useful representations of multiplication concepts of the commutative property.
To learn more about the commutative property visit:
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