Find the missing value pls help need an answer ASAP
2 answers:
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The Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.
<h3>What is factor of polynomial?</h3>Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial expression is,
Now, Cecile add 0x as,
Now, here the product of 16 and 9 is 144. Therefore, the factors must have the product of 144 and sum of 0. Thus, by using the split the factor method as,
Thus, the Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.
Learn more about factor of polynomial here;
Answer:
The vertex of the function is the point
The graph increase over the interval--------> (-3,∞)
Step-by-step explanation:
we have
<u>1) Convert to vertex form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
-----> function in vertex form
<u>2) Find the vertex</u>
The vertex of the function is the point
<u>3) Find the axis of symmetry</u>
we know that
In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex
The x-coordinate of the vertex in this problem is equal to
therefore
the equation of the axis of symmetry is
<u>4) Find the increase-decrease intervals</u>
The graph increase over the interval--------> (-3,∞)
The graph decrease over the interval--------> (-∞,-3)
see the attached figure to better understand the problem
<u>5) Find the x-intercepts of the function</u>
we know that
the x-intercepts are the values of x when the value of the function is equal to zero
In this problem the x-intercepts are
and
so
The function cross the x-axis twice
see the attached figure
