Answer:
f(-2) = -14
f(4) = -13
Step-by-step explanation:
(in picture)
Answer:
The polynomial (x -5) is not a factor of second polynomial
Step-by-step explanation:
Factor theorem states that if you divide a polynomial p(x) by a factor x -a of that polynomial, then you will get a zero remainder.
i.,e which means that if x - a is a factor of p(x), then the remainder, when we do synthetic division by x= a, will be zero.
Determine whether the first polynomial is a factor of the second polynomial.
Given the polynomial:
For to be a factor of , the factor theorems implies that x = 5 must be a zero of f(x).
Now, to test whether is a factor;
Set x -5 = 0
⇒x = 5
Then,
we will use synthetic division method to divide f(x) by x =5
you can see the figure as shown below in the attachment.
Since, the remainder is 150 which is not equal to zero, then Factor theorem says that (x-5) is not a factor of
Answer:
No,(x-5) is not a factor of
Explanation:
Factor theorem states that if (x-a) is a factor of the function f(x) then f(a) = 0.
We can use this theorem to check whether a polynomial is a factor of other polynomial or not.
Further Explanation:
Here, we have to check if (x-5) is a factor of or not.
For this we can use the above mentioned factor theorem.
In our case,
a = 5
and
So, we find f(5) and see if it is zero or not. If f(5) = 0 then (x-5) must be the factor the polynomial.
Since, f(5) is not zero. Hence, from factor theorem, (x-5) is not a factor of
Learn More:
brainly.com/question/12482195 (Answered by Kudzordzifrancis)
brainly.com/question/11378552 (Answered by Alinakincsem)
Keywords:
Factor theorem, Remainder theorem.
Answer:
the question is missing the numbers, so I looked for a similar one and found that screens back in 2017 had a 16:9 ratio and since then it changed to 18.5:9 ratio
the area of the screen is b x a x 0.5
we can form triangles:
old aspect ratio (16:9):
a = 1.778b
h = √(a² + b²)
5.8 = √[(1.778b)² + b²]
5.8 = √(3.16b² + b²)
5.8² = 4.16b²
33.64 = 4.16b²
b² = 33.64 / 4.16 = 8.0865
b = √8.0865 = 2.8437
a = 2.8437 x 1.778 = 5.056
area = 2.8437 x 5.056 x 0.5 = 7.19 in²
new aspect ratio (18.5:9):
a = 2.0556b
h = √(a² + b²)
5.8 = √[(2.0556b)² + b²]
5.8 = √(4.2253b² + b²)
5.8² = 5.2253b²
33.64 = 5.2253b²
b² = 33.64 / 5.2253 = 6.4379
b = √6.4379 = 2.5373
a = 2.5373 x 2.0556 = 5.2157
area = 2.5373 x 5.2157 x 0.5 = 6.62 in²
the actual screen area decreased by 0.57 in² or 7.93%