The plane<span> determined by a horizontal number line, called the x-axis, and a vertical number line, called the y-axis, intersecting at a point called the origin. Each point in the </span>coordinate plane<span> can be specified by an ordered pair of numbers.</span>
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.
Hello from MrBillDoesMath!
Answer: x = -5
Discussion:
The line has an undefined slope. This implies the line is vertical and its equation is like "x = a" for some constant "a", We are told the line passes through (-5,6) so the first coordinate, -5, is the "a" value we need.
Thank you,
MrB
