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4 years ago

Simplify (x-1)(x^2+5x+2)

Mathematics

2 answers:

Angelina_Jolie [31]4 years ago

7 0

Answer:

$x^3 + 4x^2 - 3x - 2$

Step-by-step explanation:

You need to multiply a binomial by a trinomial.

$(x-1)(x^2+5x+2) =$

Multiply each term of the binomial by each term of the trinomial.

$= x^3 + 5x^2 + 2x - x^2 - 5x - 2$

Now, combine like terms and write answer in descending order of exponent.

$= x^3 + 4x^2 - 3x - 2$

Dvinal [7]4 years ago

5 0

Answer:

x³ + 4x² - 3x - 2

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor

(x - 1)(x² + 5x + 2)

= x(x² + 5x + 2) - 1(x² + 5x + 2) ← distribute both parenthesis

= x³ + 5x² + 2x - x² - 5x - 2 ← collect like terms

= x³ + 4x² - 3x - 2

You might be interested in

The daily water consumption for an Ohio community is normally distributed with a mean consumption of 722,500 gallons and a stand

Allisa [31]

Answer:

0.0060

Step-by-step explanation:

The z-score is given by

z = (866,475-722,500)/57,429 = 2.51

The probability is given by the area under the Normal curve N(0,1) to the right of 2.51

In Excel this value is found with the formula

=1-NORMDIST(2.51,0,1,1)

and in OpenOffice Calc

=1-NORMDIST(2.51;0;1;1)

(NORMDIST(2.51;0;1;1) gives the area to the left of 2.51, so 1-NORMDIST(2.51;0;1;1) gives the area to the right of 2.51)

and equals 0.0060

8 0

3 years ago

Which expression is equivalent to \frac{10q^5w^7}{2w^3}.\ \frac{4\left(q6\right)^2}{w^{-5}} for all values of q and w where the

mestny [16]

Answer:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

Step-by-step explanation:

Given

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Required

Determine the equivalent expression

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Simplify the first fraction

$\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices on the first fraction;

$5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices:

$5q^5w^4*4\left(q^6\right)^2 * w^{5}$

Evaluate the bracket

$5q^5w^4*4 * q^{12} * w^{5}$

Collect Like Terms

$5*4q^5* q^{12}*w^4 * w^{5}$

$20q^5* q^{12}*w^4 * w^{5}$

$20q^{5+12}*w^{4+5}$

$20q^{17}w^9$

Hence:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

7 0

3 years ago

Find the nonpermissible replacement for a in this expression 6/-5a

Mademuasel [1]

Find the nonpermissible replacement for a in this expression 6/-5a

Denominator cannot be zero or else undefined so set the denominator to zero and solve for the a that will cause the denominator to be zero.
-5a=0
-5/-5x=0/-5
x=0

Nonpermissable replacement is 0.

4 0

4 years ago

8 pies for 20 people. what is the unit rate? need it for hw..

eduard

The answer to your question is,

2:5. Divide them both by 4 and boom. :3

-Mabel <3

6 0

3 years ago

Why do you think rates are usually written as unit rates?

SVEN [57.7K]

Rates are usually unit rates since unit rates are only for one amount for example: $35/1 video game. Rates are also written like 35 dollars per video game. a problem would ask how much would it be for 6 video games

5 0

3 years ago