All categories

3 years ago

For f(x) = x3 – 7x2 + 8x + 16, a. Find f(10) using synthetic division.

Mathematics

1 answer:

n200080 [17]3 years ago

3 0

Answer:

Dear user,

Answer to your query is provided below

The value of f(10) using synthetic division is 396.

Explanation:

Cubic polynomials cannot be factorized by splitting the middle term. Quadratic polynomials can be factorized by splitting the middle term.

A cubic polynomial can have a maximum of three linear factors. To factorize a cubic polynomial, we first find a factor by hit and trial method or using factor theorem and reduce it into the product of a quadratic polynomial and a linear polynomial. The quadratic polynomial can then be factorized in linear factors.

You might be interested in

Juan walks 3.5 miles in 56 minutes. How long will it take him to walk 1 mile?

mestny [16]

distance = time * speed

1 mile = time * 3.5 miles /56 minutes

so time = 56 minutes/3.5 = 16 minutes

5 0

3 years ago

Read 2 more answers

Help!!!!!! 15 Points!!!!!!!!!!!!!!!!!!!!!!!

Pie

Cos-1(2/5)= 66.4 degrees

5 0

2 years ago

Help me it’s urgent

Ket [755]

Answer:

$a_1 = -\dfrac{3}{4}$

Step-by-step explanation:

$a_1 \times r = a_2$

$a_1 \times r^2 = a_3$

$a_1 \times r^3 = a_4$

...

$a_1 \times r^8 = a_9$

$\dfrac{a_9}{a_4} = \dfrac{a_1 \times r^8}{a_1 \times r^3} = \dfrac{-196}{6}$

$r^5 = -32$

$r = -2$

$a_1 \times r^3 = a_4$

$a_1 \times (-2)^3 = 6$

$a_1 = \dfrac{6}{-8}$

$a_1 = -\dfrac{3}{4}$

3 0

3 years ago

A coordinate grid showing Number of Classes on the horizontal x-axis and Total Cost in dollars on the vertical y-axis with 2 lin

Oksana_A [137]

The system of equations representing these costs are; y = 7.5x and y = 5.5x + 10

<h3>How to find the equation of a line?</h3>

The slope of the first line is;

m = (y2 - y1)/(x2 - x1)

m = (32 - 10)/(4 - 0)

m = 5.5

Now, the first coordinate has a y-intercept of 10. Thus, the equation here for the cost is; y = mx + c = 5.5x + 10

The slope of the second line is;

m = (y2 - y1)/(x2 - x1)

m = (15 - 0)/(2 - 0)

m = 7.5

Now, the first coordinate has a y-intercept of 0. Thus, the equation here for the cost is; y = mx + c = 7.5x + 0 = 7.5x

Thus, the system of equations representing these costs are;

y = 7.5x and y = 5.5x + 10

Read more about Equation of a line at; brainly.com/question/13763238

#SPJ1

5 0

2 years ago

I Need help with question 21 and 22 !

USPshnik [31]

11) First, add 74 and 43.

74+43=117

Subtract 117 from 180. Do this because this will give you the value of angle 1. This is because the sum of the angles in a triangle will always add up to 180 degrees.

180-117=63

Angle 1 = 63 degrees

Angle 2 also equals 63 degrees, because they are vertical angles.

Angle 2= 63 degrees

Now, add 63 and 79

63+79=142

Subtract 142 from 180

180-142=38

Angle 3 = 38 degrees

12)

First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.

180-56=124

Angle C=124 degrees

Now, add 124 and 20

124+20=144

Finally, subtract 144 from 180

180-144=36

The measure of angle A is 36 degrees

Hope this helped! :)

7 0

3 years ago