DeathFightervx
24.02.2020 •
Mathematics
Using the foil method multiply (x2-7)(x2-4) then add any like terms and write polynomial in standard form. Show your work. Any body good at this ? I hope so, I can’t figure them out! :((
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Ответ:
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
Comment on FOIL
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
Ответ:
Let the number of 30 pound boxes represented by =x
Let the number of 20 pound boxes be represented by =y
As given, there are 64 boxes so equation is:
or ..... (1)
Total weight is 1400 pounds so equation becomes
...............(2)
Plug in the value of in 2nd equation
and
Hence, the number of boxes for delivery that weigh 20 pounds is 52.