Is the binomial a factor of the polynomial function?
1 answer:
Answer:
YES
NO
NO
Step-by-step explanation:
The given polynomial is:
(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.
To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.
∴ f(5) = 5³ + 4(5)² - 25(5) - 100
= 125 + 100 - 125 - 100
= 225 - 225
= 0
We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.
Now, to check (x + 2) is a factor.
i.e., to check x = - 2 satisfies f(x) or not.
f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100
= -8 + 16 + 50 - 100
= -108 + 66
≠ 0
Therefore, (x + 2) is not a factor of f(x).
To check (x - 4) is a factor.
∴ f(4) = 4³ + 4(4)² - 25(4) - 100
= 64 + 64 - 100 - 100
= 128 - 200
≠ 0
Therefore, (x - 4) is not a factor of f(x).
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Answer:
Jane's height is <u>63 inches</u>.
Step-by-step explanation:
Given:
Jane has her height measured using a metric ruler as 1.6 meters. She would like to know her height in inches. She knows that there are 100 centimeters in a meter and 2.54 centimeters in an inch.
Now, to find jane's height to the nearest inch.
The height of Jane measured using metric ruler = 1.6 meters.
As, 1 meter = 100 centimeters.
So, by using conversion factor we convert the height of Jane into centimeters from meters:
<em>Height of Jane in centimeters = 160.</em>
As given, 2.54 centimeters in an inch.
Now, we convert the centimeters by using unitary method:
If, 2.54 centimeters = 1 inch.
Then, 1 centimeters =
So, 160 centimeters =
<em>Thus, the height nearest to inch = 63 inches.</em>
Therefore, Jane's height is 63 inches.