Hello. i have been absent at school lately and i missed a lot of lessons i just need to know how to get the answers on these worksheets !

For the first 6, you’re doing “slope intercept form” you will need to draw a graph and graph it like so...
question (3) : you place your y intercept on the graph first, meaning ( negative 2) is your y intercept, and in questions 4, (4) is your y intercept.
after placing negative 2 on the negative side of the graph at (-2), you will then need to take the point from negative 2, and use your slope, meaning (2 over 3). The number below the line, (denominator) but as used in this equation, the (X axis) you will go across on your graph. not up or down, left or right, depending on whether your slope is negative or positive, which in this case is positive, so you will be going to your right (—>) 3 TIMES.
once you’ve moved your point to the right three times, you DO NOT place a point. You then take the other part of the slope (2) because it was (2 over 3) ( and you work with denominators first), you go UP TWICE. (two times). then you place your point there.
when you are finished you should have TWO points, and once you connect those points, you get a line segment, which you have to continue because you DO NOT want a SEGMENT you want a WHOLE LINE, meaning it should be past the two points connected, and it shouldn’t stop at them.
hope that helped!!!

Hello!

the correct option is:

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

why?

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!