Question

Use synthethic division to divide 4x^3 -6x^2 -23x+10 by x+2

Answer 1

Answer:

4x^2-14x+5

Step-by-step explanation:

To set up this question you set up the problem by taking the first numbers AND their values (i.e., 4x-6 would make 4, -6) and set them up under a L-shaped bracket. Then solve x+2 by setting it equal to zero (x+2=0), it would be x=-2. You then drag down the first number and multiple it by -2, then add it to the second number and so on until you finish. Whatever is left is then written into and equation, with the exponents starting at one less than the original, and the remainder would be put into a fraction over x+2.

Answer 2

Answer:

$14x^{2} -14x +5$

Step-by-step explanation:

Divide using synthetic division.

$(4x^{3} -6x^{2} -23x+10)$ ÷ $(x+2)$

Set up synthetic division. The divisor is $x+2=x-(-2)$, so put $-2$ on the left in the top row. Put all the coefficients of the dividend in the top row. If a term is missing from the dividend, be sure to put $0$ in its place as a placeholder.

The remainder is $0$, so just write the quotient: $4x^{2} -14x+5$

I hope this helps!

$-sarbear97 (she/they)$