What is the x-intercept of the graph of the function f(x) = x2 − 16x + 64?

(8,0)

Step-by-step explanation:

the x-intercept is when y=0

or in this case f(x) = 0

so 0=x^2-16x+64

now we factor to find what x equals

we want a pair of numbers that multiply to 64 and add up to -16

this would be -8 and -8

so we can get 0=(x-8) (x-8)



if x-8=0

then x=8

in the format of (x,y)

if we have x=8  and y=0

then our answer would be (8,0)

Immediately, we can try to split the middle term.

x^2 - 16x + 64

The factor of 64 that satisfies the criteria is -8  * -8.

Because our leading coefficient is 1, we immediately know the simplified form of this polynomial is (x - 8)(x - 8)

Even though this is a second degree polynomial, we only have one x-intercept, because it is multiplicity two.

When you have a factor with multiplicity two, or any even number, the line will dip through that x value, and then go back up, like a parabola.

The x-intercept of the graph is 8, with multiplicity two.

the second option

step-by-step explanation:

236 cm 16 time 12 = 192

6 times 7 = 42

192+42