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Answer:
Step-by-step explanation:
We can use the Rational Root Test.
Given a polynomial in the form:
Where:
- The coefficients are integers.
- is the leading coeffcient (
)
- is the constant term
Every rational root of the polynomial is in the form:
For the case of the given polynomial:
We can observe that:
- Its constant term is 6, with factors 1, 2 and 3.
- Its leading coefficient is 2, with factors 1 and 2.
Then, by Rational Roots Test we get the possible rational roots of this polynomial:
If the unknown value is x, then x = × 6 = 21.
Explanation:
- Since it is a double number line with a ratio, all the ratios of one number line to the other will remain equal for all the values along both the number lines. Assume the unknown value to be x.
- The ratio of the number on the first number line to the corresponding number on the second number line is calculated to be;
=
=
=
=
= 3.5. So
- We can also calculate x by the following method. As ratios are equal we can directly substitute the value to another ration. So
= 21.