Factor 56x2 – 8x – 7x + 1 by grouping.

- 8x (7x - 1) (7x - 1)

Step-by-step explanation:

so the first thing you would do is break it apart as if it is two different problems.

56x2 - 8x

- 7x + 1

then you would take out the greatest common multiple

8x (7x - 1)

- (7x - 1)

then you would put them together

- 8x (7x - 1) (7x - 1)

or you could just leave it as

- 8x (7x - 1)^2

(-5,-28)

i graphed to on desmos.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.