What are the x- and y-intercepts of the graph of y = x2 − 10x + 21? x-intercepts: (−3, 0) and (−7, 0) y-intercept: (0, −21) x-intercepts: (7, 0) and (3, 0) y-intercept: (0, 21) x-intercepts: (3, 0) and (7, 0) y-intercept: (0, −21) x-intercepts: (−3, 0) and (−7, 0) y-intercept: (0, 21)

x-intercepts: (7, 0) and (3, 0) y-intercept: (0, 21)

Step-by-step explanation:

To find the intercept of the graph with the y-axis, do x = 0 and clear the variable y as shown below:

.

To find the intercept with the x-axis, do y = 0 and clear x.

To solve this equation we must factor the expression.

To write the polynomial of the form:

we must find two numbers that when adding them obtain as result -10 and when multiplying both numbers obtain as result +21.

These numbers are: -3 and -7.

So, we have:

Clearly the solutions to the equation are:

These are the intercepts of the parabola with the x-axis

the line of