Question

Isiah is dividing 2x3 - x2 + 2x + 5 by x + 1 using a division table. His work is shown here. What is the value of A? –5 5 1x 5x

Answer 1

Answer:

5

Step-by-step explanation:

The computation of the value of A is shown below:

Given that

$2x^3 - x^2 + 2x + 5$

i.e divided by x + 1

As we know that the total of -3x and (A)x must be equivalent to the third term of the initial polynomial which is 2x. It is given below

$-3x+(A)x=2x$

Now if we add 3x to  both sides of the equation so

$(A)x=5x$

Now dividing it by x

So,

x = 5

One more method to check whether it is correct or not

$(x+1)(2x^{2}-3x+5)$

That gives the

$2x^{3}-x^{2}+2x+5$

Hence the correct option is 2nd i.e 5

Answer 2

Division tables are used to show the quotients of numbers and expressions.

The value of A is (b) 5

From the division table, we have the following entry in the x row:

x | -3 | A

Multiply -3 and A by x

$-3 \times x + A \times x$

This gives

$-3 \times x + A \times x = -3x + Ax$

From the question, the polynomial function is $2x^3 - x^2 + 2x + 5$

The term "2x" has a factor of x.

So, the equation $-3 \times x + A \times x = -3x + Ax$ becomes

$2x = -3x + Ax$

Add 3x to both sides

$5x = Ax$

Divide both sides by x

$5 = A$

Rewrite the equation as

$A = 5$

Hence, the value of A is (b) 5

Read more about division tables at:

https://brainly.com/question/25120969