If function ghas the factors (x-7) and (x + 6), what are the zeros of function ?

The zeros of function g are 7 and -6

Solution:

Given that function g has factors (x - 7) and (x + 6)

To find: zeros of function

The factor theorem is a theorem linking factors and zeros of a polynomial

The Factor Theorem states that  (x – a) is a factor of the polynomial f(x) if and only if f(a) = 0

That is, g(c) = 0 if and only if x - c is a factor

Since g(x) = (x - 7)(x + 6) then g(7) = 0 and g( -6 ) = 0

Since those two x values output 0, then those x values are called the zeros

[ g(7) = (7 - 7)(7 + 6) = 0 and g(-6) = (-6 - 7)(-6 + 6) = 0]

Thus the zeros of function g are 7 and -6

i would say true? if the unit was informational and it "refreshed your understanding", then true.

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.