Find the factored form of 4x2– x - 14.

(4x + 7)(x - 2)

Step-by-step explanation:

Synthetic division can be a very useful tool in factoring, although there are certainly other methods.

-14 is the constant term; its factors here MAY include ±2 and/or ± 7.

Let's use synthetic division to determine whether or not 2 is a root of the quadratic:

2   /   4    -1    -14

               8     14

         4     7      0

Because the remainder here is zero (0), we have verified that 2 is a root and (x - 2) is a factor of 4x^2 - x - 14.  Note that the remaining coefficients, 4 and 7, indicate that the other factor is 4x + 7.

Thus, 4x^2– x - 14 = (4x + 7)(x - 2)

answer: ok

step-by-step explanation:

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.