Question

isla is dividing 3x3 + x2 – 12x – 4 by x + 2 using a division table. quotient divisor 3x2 – 5x – 2 x 3x3 –5x2 –2x + 2 6x2 a b what are the missing values in the table? a = –10x; b = –4 a = –10x; b = 0 a = –3x; b = –4 a = –3x; b = 0

Answer 1

Division involves grouping a number or expression into smaller forms.

The values of A and B are: -10x and -4, respectively.

A quotient is represented as:

$\mathbf{Quotient = \frac{Dividend}{Divisor}}$

From the division table (see attachment), we have:

$\mathbf{Dividend = A}$

$\mathbf{Divisor = 2}$

$\mathbf{Quotient = -5x}$

So, we have:

$\mathbf{Quotient = \frac{Dividend}{Divisor}}$

$\mathbf{-5x = \frac{A}{2}}$

Multiply both sides by 2

$\mathbf{A = 2 \times -5x}$

$\mathbf{A = -10x}$

Similarly,

$\mathbf{Dividend = B}$

$\mathbf{Divisor = 2}$

$\mathbf{Quotient = -2}$

So, we have:

$\mathbf{Quotient = \frac{Dividend}{Divisor}}$

$\mathbf{-2 = \frac{B}{2}}$

Multiply both sides by 2

$\mathbf{B = 2 \times -2}$

$\mathbf{B = -4}$

Hence, the values of A and B are: -10x and -4, respectively.

Read more about division at:

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Answer 2

Answer:

A = –10x; B = –4   Explanation: