All categories

3 years ago

SUBJECT: Algebra LESSON: Multiplying Polynomials (x^3 + 2x − 3)(x^4 − 3x^2 + x)

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

7 0

Answer:

Step-by-step explanation:

(x^3 + 2x − 3)(x^4 − 3x^2 + x)

Multiply each value of 2nd bracket with 1st bracket:

=x^4(x^3 + 2x − 3) - 3x^2(x^3 + 2x − 3) +x(x^3 + 2x − 3)

=x^7+2x^5-3x^4-3x^5-6x^3+9x^2+x^4+2x^2-3x

Now combine the terms with same power:

=x^7-x^5-2x^4-6x^3+11x^2-3x

You can also take the common from the expression:

x(x^6-x^4-2x^3-6x^2+11x-3)....

The product of (x^3 + 2x − 3)(x^4 − 3x^2 + x) is x(x^6-x^4-2x^3-6x^2+11x-3)....

You might be interested in

If you borrowed $3,500 to buy a new car at 3% interest and paid it back in 4 years. How much would you pay in interest?

tankabanditka [31]

Answer:

$420

Step-by-step explanation:

Calculate 3% of 3,500:

0.03*3500 = 105

105 per year for 4 years:

105*4 = 420

7 0

3 years ago

For the line segment whose endpoints are A (0, 0) and B (4, 3), find the x coordinate for the point located 2 over 3 the distanc

WARRIOR [948]

Answer:

Step-by-step explanation:

Distance between AB is expressed as;

AB = √(3-0)²+(4-0)²

AB = √3²+4²

AB =√9+16

AB = √25

AB = 5

2 over 3 the distance from A to B is expressed as;

2/3 of AB

= 2/3 * 5

=10/3

= 3.3

6 0

3 years ago

Read 2 more answers

the temperature in an experiment is increased at a constant rate over a period of time until the temperature reaches 0 degrees c

dsp73

Answer:

x = 28 (So it takes 28 hours for the temperature to reach 0°C.)

y = -70 (So the temperature when the experiment begins is −70°C.)

Step-by-step explanation:

To find the the x value, you remove the y value or replace it with 0.

0 = 5/2x - 70

Next you move the variable.

70 (2/5) = x (multiply 70 by 2 to get 140 and divide that by 5)

And now you simplify to get:

To find the y value, you remove the x value or replace it with 0.

y = 0 - 70

And now you simplify to get:

-70

x = 28

y = -70

7 0

2 years ago

Read 2 more answers

Kandice notices that 2/7 of a gallon of milk is on the top shelf of the refrigerator, and 3/5 of gallon of milk is on the bottom

Brilliant_brown [7]

The answer is 24/35. i would tell you to simplify but it is already in its simpliest form.

8 0

3 years ago

Read 2 more answers

Consider the hypothesis test below.

Pavel [41]

Answer:

$Z_{H0} =1.79$

p-value: 0.0367

Decision: Reject H₀

Step-by-step explanation:

Hello!

Hypothesis to test:

H₀:ρ₁-ρ₂=0

H₁:ρ₁-ρ₂>0

The statistic to use to test the difference between two population proportions is the approximation of Z

Z=<u> (^ρ₁-^ρ₂)-(ρ₁-ρ₂) </u> ≈N(0;1)

√ (<u>^ρ₁(1-^ρ₁))/n₁)+(^ρ₂(1-^ρ₂)/n₂))</u>

Z=<u> (0.28-0.15)-0 </u>= 1.79

√ (<u>0.28(1-0.28)/200)+(0.15(1-0.15)/300)</u>

p-value

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

P(Z>1.79)= 0.0367

Conclusion:

Comparing the p-value against the significance level, you can decide to reject the null hypothesis.

I hope you have a SUPER day!

8 0

3 years ago