Ask question

Ask question

All categories

2 years ago

10

Summarize how the Rational Zeros Theorem, the Factor Theorem, and polynomial division are used together to find the zeros of a p

olynomial.

1 answer:

GREYUIT [131]2 years ago

4 0

Answer:

If

P(x)

is a polynomial with integer coefficients and if

is a zero of

P(x)

(

P() = 0

), then

p

is a factor of the constant term of

P(x)

and

q

is a factor of the leading coefficient of

P(x)

Step-by-step explanation:

Hope this helps

You might be interested in

There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85

QveST [7]

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

6 0

4 years ago

What is the equation of the line

kupik [55]

Answer:

y=-x+3.

Step-by-step explanation:

The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.

8 0

3 years ago

Determine whether abc ----> jgh is a reflection, translation, rotation, or glide reflection.

Usimov [2.4K]

From this picture you can calculate coordinates of triangles' vertices:
$A(-9,0),\ B(-6,-4),\ C(-3,0),\ J(8,0),\ G(5,4),\ H(2,0)$ .

Since

$\frac{-9+8}{2} = \frac{-6+5}{2}= \frac{-3+2}{2}=- \frac{1}{2}$ $\frac{0+0}{2}= \frac{-4+4}{2} = \frac{0+0}{2} =0$

you can conclude that points A, B, C are rotated by $180^0$ about the point (-0.5,0) to form points J, G, H, respectively.

Answer: A is correct choice.

3 0

3 years ago

Solve the system by using the technique of ‘elimination’: -2x+5y=-42,7x+2y=30

Gekata [30.6K]

Solve the following system using elimination:

{5 y - 2 x = -42 | (equation 1)

7 x + 2 y = 30 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 2 y = 30 | (equation 1)

-(2 x) + 5 y = -42 | (equation 2)

Add 2/7 × (equation 1) to equation 2:

{7 x + 2 y = 30 | (equation 1)

0 x+(39 y)/7 = (-234)/7 | (equation 2)

Multiply equation 2 by 7/39:

{7 x + 2 y = 30 | (equation 1)

0 x+y = -6 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{7 x+0 y = 42 | (equation 1)

0 x+y = -6 | (equation 2)

Divide equation 1 by 7:

{x+0 y = 6 | (equation 1)

0 x+y = -6 | (equation 2)

Collect results:

Answer: {x = 6, y = -6

3 0

3 years ago

Rebecca leaves home to go to work. She walks the first 5 minutes and then increases her speed until she gets to work. Which grap

VashaNatasha [74]

Answer:

Step-by-step explanation:

I believe that this is the answer.

8 0

3 years ago

Read 2 more answers