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Step2247 [10]
3 years ago
13

Explain the connection between factors of a polynomial, zeros of a polynomial function, and solutions of a polynomial equation.

Make sure you use proper terms such as leading coefficient, degree, binomial, constant, linear binomial, zeros, roots, etc.
Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

Answer:

Step-by-step explanation:

Solutions, zeros, and roots of a polynomial are all the same exact thing and can be used interchangeably.  When you factor a polynomial, you solve for x which are the solutions of the polynomial.  Since, when you factor a polynomial, you do so by setting the polynomial equal to 0, by definition of x-intercept, you are finding the zeros (don't forget that x-intercepts exist where y is equal to 0). There's the correlation between zeros and solutions.  

Since factoring and distributing "undo" each other (or are opposites), if you factor to find the zeros, you can distribute them back out to get back to the polynomial you started with.  Each zero or solution is the x value when y = 0.  For example, if a solution to a polynomial is x = 3, since that is a zero of the polynomial, we can set that statement equal to 0: x - 3 = 0.  What we have then is a binomial factor of the polynomial in the form (x - 3).  These binomial factors found from the solutions/zeros of the polynomial FOIL out to give you back the polynomial equation.

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Mais family drinks a total of 10 gallons of milk every 6 weeks. How many gallons of milk does the family drink per week? How man
tino4ka555 [31]

Answer:

they drink 1.667 gallons a week. it takes about 6.5 days to drink a whole gallon

Step-by-step explanation:

take 10/6 to get 1.667 then how many days would it take to drink 1 whole gallon

7 0
3 years ago
The difference between a and b is 10. The number a is 4 more than 3 times the number b. Which of the following pairs of equation
k0ka [10]

Answer:

D. a−b=10 a=3b+4

Step-by-step explanation:

Difference between a and b means to subtract b from a

We have,

a-b=10

a is 4 more than 3 times b

4 more than means to add 4

3 times b means to multiply b by 3

Therefore, a=3 times b + 4

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4 0
3 years ago
Write the following as a ratio: 304 calories burned in 56 minutes
IgorC [24]

Answer:

The required ratio is 38 : 7

Step-by-step explanation:

Given,

304 calories burned in 56 minutes,

That is, the number of calories burnt in 56 minutes = 304

So, the ratio of the calories burnt and time in minutes  = \frac{304}{56}

∵ HCF(304, 56) = 8,

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= \frac{38}{7}

6 0
3 years ago
Please help I'm a little confused!
zaharov [31]

I will have "x" represent the unknown number, or you could use a "?", doesn't matter.

8\leq \frac{x}{-4}     [8 is less than or equal to (≤) the quotient (÷) of a number and -4, so the number is being divided by -4]

If you need to solve this, you need to isolate/get the variable "x" by itself in the inequality:

8\leq \frac{x}{-4}   Multiply -4 on both sides to get rid of the fraction and get "x" by itself

(-4)8\geq \frac{x}{-4} (-4)    When you multiply/divide by a negative number, you flip the sign (< >)

-32 ≥ x          [-32 is greater than or equal to x, or x is less than or equal to -32]

8 0
3 years ago
What are the new coordinates of the figure above if it is dilated by a scale factor of , with the origin as the center of dilati
Reika [66]

Answer:

could you show a picture and repost thx

Step-by-step explanation:

7 0
3 years ago
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