What is the quotient (3x4 – 4x2 + 8x – 1) ÷ (x – 2)?

The quotient is .

Explanation:

The given dividend is,

The coefficients of and constant are 3, 0, 4,8,-1.

The divisor is,

The divisor is in the form of x-c so the value of c is 2. Write the number 2 and the coefficient of dividend in top row as shown in the below figure.

Write first coefficient 3 as it is, in bottom row.

Multiply 2 by 3 and write the result (i.e., 6) in middle row below the coefficient of second term.

Add 0 and 6, and write the result ( i.e., 6) in bottom line.

Multiply 2 by 6 and write the result (i.e., 12) in middle row below the coefficient of third term.

Add -4 and 12, and write the result ( i.e., 8) in bottom line.

Multiply 2 by 8 and write the result (i.e., 16) in middle row below the coefficient of fourth term.

Add 8 and 16, and write the result ( i.e., 24) in bottom line.

Multiply 2 by 24 and write the result (i.e., 48) in middle row below the coefficient of fifth term.

Add -1 and 48, and write the result ( i.e., 47) in bottom line.

Now the first four element of bottom line shows the coefficient of quotient and the last element shows the remainder.

The degree of dividend is 4 so degree of quotient must be one less than the degree of the dividend.

Degree of the quotient is 3.

answear:

a

step-by-step explanation: a

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq