Answer:

Explanation:
Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial
Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it
Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial
We set x-2 to zero:

Now, we substitute 2 into the polynomial as follows:

There is a remainder of -28 and thus, the linear factor is not a factor of the binomial
The equation that best describes the distance traveled is y = 190 + 65x.
Finding the values of the variables that lead to the stated equality being true is a step in the process of solving an equation with variables. Equation solutions are the amounts of the unknowns that meet the equality, whereas unknowns are the variables with which the equation must be solved.
Identity equations and conditional equations are the two types of equations. For every possible value of a variable, an identity holds true. The variables in a conditional equation can only have certain values.
An equation is made up of two expressions connected together by an equals symbol ("=").
The Distance traveled by car is 190 miles
The Speed of the car is 65 miles per hour.
Let x be the total number of hours traveling by car and y be the total distance remaining.
Then,
Total distance = 190 miles + 65 miles per hour × Number of hours traveled.
y = 190 + 65x
Consequently, the equation is y = 190 + 65 x.
To learn more about equations visit:
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a )


Two solutions.
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b )


One solution .
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c )


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d )


One solution.
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e )



Two solutions.
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f )

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Two solutions .
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