1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yan [13]
3 years ago
14

using the foil method multiply (x2-7)(x2-4) then add any like terms and write polynomial in standard form. Show your work. Any b

ody good at this ? I hope so, I can’t figure them out! :((
Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer:

  x^4 -11x^2 +28

Step-by-step explanation:

The FOIL method tells you to form the products of ...

  First terms: (x^2)(x^2) = x^4

  Outer terms: (x^2)(-4) = -4x^2 . . . . first term of first factor × last term of last factor

  Inner terms: (-7)(x^2) = -7x^2 . . . . terms next to the adjacent parentheses

  Last terms: (-7)(-4) = 28 . . . . . . . . . second term of each binomial

The only terms that need to be combined are the Outer and Inner terms. In this product, their sum is ...

  -4x^2 -7x^2 = -11x^2

Then the product is x^4 -11x^2 +28.

_____

Apart from your multiplication tables (or use of your calculator), you only need to know how to find the exponent of the product of powers of x. That result is the sum of the exponents of the factors:

  (x^a)(x^b) = x^(a+b)

  (x^2)(x^2) = x^(2+2) = x^4

_____

<em>Comment on FOIL</em>

The term FOIL is intended to be a mnemonic to remind you how to multiply two binomials. The method only works with two binomials.

The more general case is the use of the distributive property, which is needed for multiplying sums that are not binomials.

Using the distributive property gets you the same place in the end:

  (x^2 -7)(x^2 -4) = x^2(x^2 -4) -7(x^2 -4) . . . . . second factor multiplies each term of the first factor

Now you can go the next step to distribute the outside factor to all the inside terms:

  = (x^2)(x^2) +(x^2)(-4) -7(x^2) -7(-4)

  = x^4 -4x^2 -7x^2 +28 . . . . . . . same terms as FOIL, above

  = x^4 -11x^2 +28 . . . . . . . . . . . . same product as above

You might be interested in
70 points I need help ASAP on everything but part A (WILL GIVE BRAINLIEST) Roller Coaster Crew Ray and Kelsey have summer intern
Airida [17]
7 is the right answer to the question
6 0
3 years ago
Read 2 more answers
1.56 times 48 equals
Crank

Answer:

It equals 74.88

Step-by-step explanation:

U jus multiply them

5 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!
andreev551 [17]

Answer:

1,632(

Step-by-step explanation:

I did 34,284/252 to figure out the # of groups with 252 people

I got 136.04-- rounded it to 136

I then multiplied 136*12=1,632

so 1,632 people have type A blood

3 0
3 years ago
Read 2 more answers
6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally dis
Yakvenalex [24]

Answer:

92.9997<\mu<99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

<em>Hence a 90% confidence interval for the population mean using this sample data is 92.9997<</em>\mu<em><99.5203</em>

4 0
3 years ago
What is the square root of 16x^36
Blababa [14]

<span><span><span><span><span><span><span><span><span><span><span><span><span>this is the answer(</span></span><span><span><span><span>4</span></span><span><span /></span><span><span><span><span>x</span></span></span><span><span><span>2</span></span></span></span></span></span><span><span>)</span></span></span></span><span><span><span>2 </span></span></span></span></span></span></span></span></span></span></span></span><span>4⁢x22</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • Dory bought a sandwich for $6.75 a bag of dried fruit for $1.45 and a bottle of water for $1.75. She paid the cashier with the $
    5·1 answer
  • I need help on this
    11·1 answer
  • Vivian exchanged her Japanese yen for ?56.92 in U.S. dollars. What equation can be used to find the quantity of Japanese yen tha
    13·1 answer
  • Regular hexagon FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined f
    6·1 answer
  • carinas cars is having a 25 % off sale.write an expression that can be used to find the sale price of any car on the lot:
    9·2 answers
  • Alyssa spent half of her allowance going to the movies. She washed the family
    12·1 answer
  • The solution set for all real numbers x such that 2x + 3 &lt; 19 and 2x − 3 ≤ -7 is (blank, blank]
    14·1 answer
  • Cho hình chóp S.ABC có đáy abc là hình vuông tại A. Có ab = a, ac = a^3 . Mặt bên SAB là tam giác đều nằm trong măth phẳng vuông
    12·1 answer
  • 1. The diagonal of a quadrilateral
    14·1 answer
  • 2. Write four thousand twenty four and seventy six thousandths in<br> number<br> inta decimall
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!