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grandymaker [24]
3 years ago
15

Given f(x)=4x^3+7x^2-7x-10 factor f(x), given that -1 is a zero

Mathematics
1 answer:
stira [4]3 years ago
7 0
If - 1 is a zero then
(x + 1)
is a factor.

Dividing with this factor using the long division approach, we get the quadratic factor to be,

4 {x}^{2}  + 3x - 10
(see attachment).

We can rewrite the polynomial as
f(x) = (x  + 1)(4 {x}^{2}  + 3x - 10)

We can further factor as

f(x) = (x + 1)(4 {x}^{2}  - 5x + 8x - 10)
That is

f(x) = (x + 1)(x  +  2)(4x - 5)

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Debora [2.8K]
The true statement will be A.
7 0
3 years ago
Read 2 more answers
Someone help me with this geometry homework !!!!!! 10 points!
Reil [10]

Answer:  3a = (0, 1)       3b = (2, 1)      3c = (2.5, 1)      3d = (1.6, 1)

               4a = (2, 3.5)             4b = (2, 3)           4c = (2, 5.375)

<u>Step-by-step explanation:</u>

The length of AB is 6 and is horizontal (affects the x-coordinate)

3a)\quad 6\bigg(\dfrac{1}{2}\bigg)\quad =3\qquad \qquad A(-2, 1) +(3, 0)= C(1,1)\\\\\\3b)\quad 6\bigg(\dfrac{2}{3}\bigg)\quad =4\qquad \qquad A(-2, 1) +(4,0)= C(2,1)\\\\\\3c)\quad 6\bigg(\dfrac{3}{4}\bigg)\quad =\dfrac{9}{2}\qquad \qquad A(-2, 1) +(4.5,0)= C(2.5,1)

3d)\quad 6\bigg(\dfrac{3}{5}\bigg)\quad =\dfrac{18}{5}\qquad \qquad A(-2, 1) +(3.6,0)= C(1.6,1)

***********************************************************************************

The length of AB is 5 and is vertical (affects the y-coordinate)

4a)\quad 5\bigg(\dfrac{1}{2}\bigg)\quad =\dfrac{5}{2}\qquad \qquad A(2, 1) +(0,2.5)= C(2,3.5)\\\\\\4b)\quad 5\bigg(\dfrac{2}{5}\bigg)\quad =2\qquad \qquad A(2, 1) +(0,2)= C(2,3)\\\\\\4c)\quad 5\bigg(\dfrac{7}{8}\bigg)\quad =\dfrac{35}{8}\qquad \qquad A(2, 1) +(0,4.375)= C(2,5.375)

4 0
3 years ago
HELP IS OVERDUED AND I NEED THE CORRECT ANSWER AND WORK BY TODAY BEFORE SHE COUNTS IT LATE!!!!! ALMOST 3:20am!!!!! The answer wr
Nuetrik [128]

Answer:

978 in^2

Step-by-step explanation:

the area of the rectangle:

24in X 30in = 720 in^2

the area of the two similar triangles:

12 X 9 / 2 + 12 X 9 / 2 = 108 in^2

the area of the last triangle:

20 in X 15 in /2 = 150in^2

.

the total area is the sum of the areas:

720in^2 + 108in^2 + 150in^2 = 978in^2.

7 0
3 years ago
Given that MQL =180° and XQR = 180°, which equation could be used to solve problems involving the relationships
Ganezh [65]

Answer:

Option A is the right answer.

146-4b = 122-1b

Reason: vertical angles

8 0
2 years ago
im so sad i literally cried for 10 min straight because i have three 70's on my grade progress report and my mom only wants 80's
givi [52]

Answer:

You shouldn't blame your mom. You are more than capable of getting 80's that is the bare minimum. Your mom does not want you to fail, try harder and get better grades. 70's are not the best

7 0
2 years ago
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