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Alborosie
3 years ago
11

Which factoring method would be best to factor 17x^2 + 34x + 51

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

Answer:

17 (x^2 + 2 x + 3)

Step-by-step explanation:

Factor the following:

17 x^2 + 34 x + 51

Factor 17 out of 17 x^2 + 34 x + 51:

Answer:  17 (x^2 + 2 x + 3)

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Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3
RSB [31]

Answer:

\Large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Step-by-step explanation:

Hello,

Based on the indication, we can write this polynomial as below, k being a real number that we will have to identify (degree = 3 and we have three zeroes -3, -1, and 2).

   \Large \boxed{k(x+3)(x+1)(x-2)}

We know that the point (1,10) is on the graph of this function, so we can say.

k(1+3)(1+1)(1-2)=10}\\\\4*2*(-1)*k=10\\\\-8k=10\\\\k=\dfrac{10}{-8}=-\dfrac{5}{4}

Then the solution is:

\large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
If a pound of apples cost $2.90 how much would 2.4 lbs cost
polet [3.4K]

$6.96   $2.9 x 2.4=$6.96

7 0
3 years ago
Read 2 more answers
Let a be a rational number and b be an irrational number. Is a + b rational or irrational?
Svetlanka [38]

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

4 0
3 years ago
Read 2 more answers
in a history class, the girl to boy ratio is 9 to 5. if there is a total of 70 students how many boys is there
DedPeter [7]

Answer:

25 boys.

Step-by-step explanation:

To solve this problem, first add the two parts of the ratio. 9 + 5 = 14. Then divide 70 by 14 to get 5. Since the total is 5 times the ratio total, multiply both sides of the ratio by 5. The result is 45 : 25. If you add them together, you get a total of 70. Therefore, there are 25 boys in the class.

7 0
3 years ago
Read 2 more answers
Anyone wanna help me out
Sholpan [36]

Answer:

58.91m^2

Step-by-step explanation:

(smaller triangle below)

A=\frac{ab}{2}\\ =\frac{8.6*5.5}{2}\\ =23.65m^2\\\\A=\frac{ab}{2}\\ =\frac{8.6*8.2}{2} \\=35.26m^2

(bigger triangle above)

Since you have both triangle, and all lengths you dont need to worry about calculating the square

Add both together

23.65+35.26\\=58.91m^2

5 0
3 years ago
Read 2 more answers
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