Complete the synthetic division below.

Mathematics

1 answer:

lutik1710 [3]3 years ago

4 0

Answer:

The quotient is (x+7)

Step-by-step explanation:

Given the synthetic division problem

2|1 5 -14

we have to complete the synthetic division to find the quotient.

The steps are

Step 1: Set up the synthetic division

Step 2: Bring down the leading coefficient to the last row.

Step 3: Multiply the value which is written on the top left by the value just written on the bottom row.

Step 4: Add the column created in above step.

Step 5: continue until we reached last column.

The synthetic division is shown in attachment.

The quotient is (x+7)

Option D is correct

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Answer:

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Step-by-step explanation:

Change the given equation to slope-intercept to get $y=\frac{7}{4}x-\frac{1}{4}$ . When you multiply the slopes of perpendicular lines, you get -1. -1 divided by $\frac{7}{4}$ is $-\frac{4}{7}$ . The slope of the new line is then $-\frac{4}{7}$ . The perpendicular line passes through (5, 5) so you can have the equation $5=-\frac{4}{7} (5)+b$ . Simplifying gets $b = \frac{55}{7}$ . So now the final equation for the perpendicular line is $y=-\frac{4}{7} x+\frac{55}{7}$