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Mariulka [41]
3 years ago
14

Divide x^2+7x+12 by x+3 using long division

Mathematics
1 answer:
Trava [24]3 years ago
8 0
X^2+7x+12/x+3
x^2+7x+12/x+3
x^3+7x^2+12+3x/x
x^3+7x^2+3x+12/x
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You start driving north for 33 miles, turn right, and drive east for another 56 miles. How many miles must you travel to return
sasho [114]

Answer:23

Step-by-step explanation:

You go 33 miles NORTH then go 56 EAST 56-33= 23

3 0
3 years ago
Write a polynomial function of least degree with integral coefficients that have the given zeros. 4,-1,6 f(x)=x^3-9x^2+14x+24
AlladinOne [14]

Answer:

see explanation

Step-by-step explanation:

Given the zeros of a polynomial, say x = a, x = b, x = c

Then (x - a), (x - b), (x - c) are it's factors

and the polynomial is the product of the factors

here x = 4, x = - 1, x = 6, hence

(x - 4), (x + 1) and (x - 6) are the factors

f(x) = a(x - 4)(x + 1)(x - 6) ← a is a multiplier

let a = 1, then expanding the first pair of factors

f(x) = (x² - 3x - 4)(x - 6) ← expand out the factors

    = x³ - 3x² - 4x - 6x² + 18x + 24 ← collect like terms

    = x³ - 9x² + 14x + 24



8 0
3 years ago
The central angle of a minor arc is an acute angle.
Nostrana [21]
<span>The central angle in a minor arc is acute. In a minor arc, the angle must be less than 180˚. However, it doesn't have to be less than 90˚. So the central angle is sometimes acute. 

hope this helps u leave a like if it does</span>
3 0
3 years ago
What number is 22 ten-thousandths more than 1 1/2?
Mkey [24]

Answer:

1.50000

<u> .00022</u>

1.50022

Step-by-step explanation:

3 0
3 years ago
2x-5y+5z=-10<br> 5x-4y+3z=-19<br> X-y+5z=17
yarga [219]

Answer:

x = -125/71 , y = 448/71 , z = 356/71

Step-by-step explanation:

Solve the following system:

{2 x - 5 y + 5 z = -10 | (equation 1)

5 x - 4 y + 3 z = -19 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Swap equation 1 with equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

2 x - 5 y + 5 z = -10 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Subtract 2/5 × (equation 1) from equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - (17 y)/5 + (19 z)/5 = (-12)/5 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Multiply equation 2 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Subtract 1/5 × (equation 1) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y/5 + (22 z)/5 = 104/5 | (equation 3)

Multiply equation 3 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y + 22 z = 104 | (equation 3)

Subtract 1/17 × (equation 2) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+(355 z)/17 = 1780/17 | (equation 3)

Multiply equation 3 by 17/5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+71 z = 356 | (equation 3)

Divide equation 3 by 71:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 19 × (equation 3) from equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y+0 z = (-7616)/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 2 by -17:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Add 4 × (equation 2) to equation 1:

{5 x + 0 y+3 z = 443/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{5 x+0 y+0 z = (-625)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 1 by 5:

{x+0 y+0 z = (-125)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Collect results:

Answer: {x = -125/71 , y = 448/71 , z = 356/71

5 0
4 years ago
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