The table below shows two equations:

equation 1 |4x − 3| − 5 = 4
equation 2 |2x + 3| + 8 = 3

which statement is true about the solution to the two equations?
equation 1 and equation 2 have no solutions.
equation 1 has no solution, and equation 2 has solutions x = −4, 1.
the solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.
the solutions to equation 1 are x = 3, −1.5, and equation 2 has solutions x = −4, 1.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

vhhhbnbb. ddben jenner v

the answer is d

step-by-step explanation:

you can also use mathway to get you answer + steps