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N76 [4]
3 years ago
12

Which is a factor of each term of the polynomial?

Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0
The answer is A, f. This is because if you factor 7f^2-12f, you get f(7f-12.) Since you have to distribute "f" in the equation, that is the factor of the polynomial term.

Hope I helped; please mark brainliest if correct :)
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Enter your answer and show all the steps that you use to solve this problem in the space provided.
rodikova [14]

Answer:

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³           - 7x + 4

(b) Create a subtraction problem using the two functions

        ƒ(x) =    9x³ + 2x² - 5x + 4

      -g(x) =  <u>-(5x³           - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

        ƒ(x)   =    9x³ + 2x² - 5x + 4

      -g(x)  =   <u>-(5x³          -  7x + 4) </u>

ƒ(x) -g(x) =      4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

5 0
3 years ago
Simplify 4x^6/2x^4 step by step <br><br> please<br><br> thanks
mrs_skeptik [129]
Ok so you have 4, x^6 / 2, x^4. Now divide the coefficient so 4/2=2. So 2 x^6/x^4, now subtract the numerator by the denominator so x^6-x^4=x^2 so now you have 2x^2

Answer: 2x^2
5 0
3 years ago
Three-fourths of the voters supported the bond measure. If there were
vodka [1.7K]

Answer:

6000

Step-by-step explanation:

Divide top and bottom by the common factor.  

\dfrac{3 }{4}  \times 8000 = 3 \times 2000

Simplify

3 × 2000 = 6000

5 0
3 years ago
On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depres
Alborosie

Answer:

  • 79 ft

Step-by-step explanation:

Balloon - B, stake - S, point at ground - G

<u>Given:</u>

  • BS = 90 ft
  • m∠BSG = 62°
  • BG = x

<u>Use sine and solve for x:</u>

  • BG/BS = sin ∠BSG
  • sin 62° = x / 90
  • x = 90 sin 62 deg
  • x = 79 ft (rounded)
4 0
3 years ago
What is the absolute value of -6 please help
UNO [17]

Answer:

6

Step-by-step explanation:

its 6

4 0
3 years ago
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