The quotient of expression is
.
Given that,
Expression; ![\rm\dfrac{ (x^3 + 3x^2 + 5x + 3) }{ (x + 1)}](https://tex.z-dn.net/?f=%5Crm%5Cdfrac%7B%20%28x%5E3%20%2B%203x%5E2%20%2B%205x%20%2B%203%29%20%7D%7B%20%28x%20%2B%201%29%7D)
We have to determine,
The quotient of expression?
According to the question,
To determine the quotient of expression following all the steps given below.
Simplify the expression,
![\rm =\dfrac{ (x^3 + 3x^2 + 5x + 3) }{ (x + 1)}\\\\= \dfrac{ (x^3 + 2x^2 + 3x + x^2+2x+ 3) }{ (x + 1)}\\\\ = \dfrac{ x(x^2+ 2x+ 3) + 1(x^2+2x+ 3) }{ (x + 1)}\\= \dfrac{ (x^2+ 2x+ 3) (x+1) }{ (x + 1)}\\\\= x^2+2x+3](https://tex.z-dn.net/?f=%5Crm%20%3D%5Cdfrac%7B%20%28x%5E3%20%2B%203x%5E2%20%2B%205x%20%2B%203%29%20%7D%7B%20%28x%20%2B%201%29%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B%20%28x%5E3%20%2B%202x%5E2%20%2B%203x%20%2B%20x%5E2%2B2x%2B%203%29%20%7D%7B%20%28x%20%2B%201%29%7D%5C%5C%5C%5C%20%3D%20%5Cdfrac%7B%20x%28x%5E2%2B%202x%2B%203%29%20%2B%201%28x%5E2%2B2x%2B%203%29%20%7D%7B%20%28x%20%2B%201%29%7D%5C%5C%3D%20%20%5Cdfrac%7B%20%28x%5E2%2B%202x%2B%203%29%20%28x%2B1%29%20%7D%7B%20%28x%20%2B%201%29%7D%5C%5C%5C%5C%3D%20x%5E2%2B2x%2B3)
Hence, The required quotient of expression is
.
For more details refer to the link given below.
brainly.com/question/12895249
Answer:
axis of symmtery: x = 3 or h = 3
Step-by-step explanation:
The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where <em>x</em> =<em> h</em>.
- In the standard form of quadratic equation, y = ax² + bx + c, the equation of the axis of symmetry is:
.
- In the vertex form of the quadratic equation, y = a(x - h)² + k, the equation of the axis of symmetry is:
.
Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence<em>, </em><em>x = h. </em><em> </em>
Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.
Answer:
6s-36 is the answer . Hope this helps you.
Answer:
Rational
Step-by-step explanation:
While the number never terminates since it repeats it qualifies as rational. Also since it can be put in fraction form it is a rational number.
Answer:
9 hours
Step-by-step explanation:
12x+32=140
so
140-32=108
108/12= 9
x=9