Express the polynomial below by nesting. f(x)=4x³+3x²+2x-4
1 answer:
Answer:
can be expressed in nested form as
Step-by-step explanation:
Considering the polynomial
Expressing the polynomial by nesting
So,
Step 1) Writing down the coefficient and one factor of x from the first term and add on the coefficient of the next term.
Step 2) Enclose this term in brackets, multiply by x and add on the next coefficient.
Step 3) Repeating the previous step until all terms are within the equation.
So,
Therefore, can be expressed in nested form as
<em>Keywords:</em><em> polynomial, nesting form</em>
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Answer:
d. The equation has one solution and there is not enough information to determine the direction of the parabola.
Step-by-step explanation:
For a general quadratic equation
y = ax² +bx +c
the solution is
The discriminant (D) is the part of the quadratic formula underneath the radical: b² - 4ac.
D tells us whether there are
- two different real solutions
- two identical real solutions ("one solution")
- two complex solutions.
If D= 0,
and there are two identical solutions ("one solution").
The direction of the parabola depends on the sign of a.
That information is not given, so we cannot determine the direction of the parabola.
Solution:
First i'm going to divide the graph into 3 parts. Linear, Quadratic and Horizontal graph.
<u>Linear:</u>
<u>Quadratic:</u>
<u>Horizontal:</u>
Answer:
<em>Hope this was helpful.</em>