All categories

3 years ago

Find constants p and q such that x^4-2x^3-x^2+2x+10=(x^2+px+5)(x^2+qx+2)

Mathematics

1 answer:

likoan [24]3 years ago

7 0

Answer:

p = -4 q = 2

Step-by-step explanation:

Expand the brackets ( yes the entire thing).
group together the values with same co-effiecients; like (q+p)x^3 etc etc.
equate the co-effiecients on the left hand side to the now grouped ones on the right, for example [x^3]: -2x^3= (q+p)x^3, the x^3 cancels and ull get an equation only in terms of p and q. do the same for [x] and ull get an equation with only q, solve this and get the value for q [q = 2].
sub in this value for the [x^3] equation and ull get an answer for p [p= -4].

hope my explanation is understandable lol

You might be interested in

Write an equation in slope intercept form of the line shown (1,-3) (3,1)

OLga [1]

Answer:

y = 2x - 5

Step-by-step explanation:

Using the slope intercept formula y2 - y1 / x2 -x1...

You get a slope of 2 so y = 2x +b

Then to find b the intercept, you plug in one of the coordinates like so...

1 = 2(3) + b

Then solve to get an intercept of -5.

So the slope-intercept form would be...

y = 2x - 5

3 0

3 years ago

Solve for x. 25 - 3x = -5(1 - x) - 2x

grandymaker [24]

Answer:

$x = 5$

Step-by-step explanation:

25 - 3x = -5(1 - x) - 2x

We have to first get rid of the parenthesis:

$-5 * 1$ ==> -5

$-5 * -x$ ==> 5x

So now you should have:

25 - 3x = -5 + 5x - 2x

Combine like terms:

25 - 3x = -5 + 5x - 2x

25 - 3x = -5 + 3x

Add 3x to both sides:

25 - 3x = -5 + 3x

+ 3x = + 3x

And you should have:

25 = -5 + 6x

Add 5 to both sides:

25 = -5 + 6x

+5 = +5

30 = 6x

Divide 6 to both sides:

$\frac{30}{6}$ = $\frac{6x}{6}$

5 = x

3 0

2 years ago

Read 2 more answers

) In 2005, the Health Department in Marion County, Indiana measured the heights and weights of 90,147 school-age children, allow

Lena [83]

Answer:

Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.

Step-by-step explanation:

The national average is 17% .The z proportional hypothesis test is used.

1) Let the null and alternate hypothesis be

H0: p =0.17

against the claim

Ha: p ≠ 0.17

Choose the significance level ∝= 0.05

The critical region is z > 1.96 and Z <- 1.96 because it is two tailed test.

Computing

z= p^-p / sqrt [pq/n]

Z= 0.22-0.17/ √0.17*(1- 0.17)/90147

z= 39.965

3 0

3 years ago

What symbols go in this equation to make it equal 6. Symbols go where the circles are

jonny [76]

Well, I can't figure out the answer at the moment, but I can give you a tip. Just substite each possible sign in the to see if one works... for example: +++, x+-, ++-....
Hope this helps you out :)

3 0

3 years ago

Read 2 more answers

Which relation is a function?

Nadya [2.5K]

Answer:

it is c

Step-by-step explanation:

3 0

3 years ago