The midtown middle school cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, wh
2 answers:
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Given:
The polynomial function is
To find:
The possible roots of the given polynomial using rational root theorem.
Solution:
According to the rational root theorem, all the rational roots and in the form of , where, p is a factor of constant and q is the factor of leading coefficient.
We have,
Here, the constant term is 10 and the leading coefficient is 4.
Factors of constant term 10 are ±1, ±2, ±5, ±10.
Factors of leading term 4 are ±1, ±2, ±4.
Using rational root theorem, the possible rational roots are
Therefore, the correct options are A, C, D, F.
Answer: The correct option is (c)
Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:
Also, we are to find the constant added on both sides to form the perfect square trinomial.
We have from equation (i) that
So,
Thus, the required solution is and the value of the constant added is
Option (c) is correct.