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ss7ja [257]
2 years ago
9

How is 27x^2-57x+14 factored

Mathematics
2 answers:
Semmy [17]2 years ago
8 0

Answer: (3✖️- 7) (9✖️ +2)

Step-by-step explanation:

3^3 ✖️^2 -57✖️) - 14

Luden [163]2 years ago
3 0
27x2-57x-14

Final result :

(3x - 7) • (9x + 2)
Step by step solution :

Step 1 :

Equation at the end of step 1 :

(33x2 - 57x) - 14
Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 27x2-57x-14

The first term is, 27x2 its coefficient is 27 .
The middle term is, -57x its coefficient is -57 .
The last term, "the constant", is -14

Step-1 : Multiply the coefficient of the first term by the constant 27 • -14 = -378

Step-2 : Find two factors of -378 whose sum equals the coefficient of the middle term, which is -57 .

-378 + 1 = -377
-189 + 2 = -187
-126 + 3 = -123
-63 + 6 = -57 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -63 and 6
27x2 - 63x + 6x - 14

Step-4 : Add up the first 2 terms, pulling out like factors :
9x • (3x-7)
Add up the last 2 terms, pulling out common factors :
2 • (3x-7)
Step-5 : Add up the four terms of step 4 :
(9x+2) • (3x-7)
Which is the desired factorization

Final result :

(3x - 7) • (9x + 2)
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The answer and how you got the answer
olasank [31]

Answer:

\frac{34}{15}

Step-by-step explanation:

we are asked to evaluate

4\tfrac{1}{4}÷1\tfrac{7}{8}

Above we are given mixed fraction which can be converted in proper fraction using formula given below

a\tfrac{b}{c}=\frac{a \times c +b}{c}

Hence

4\tfrac{1}{4}=\frac{4 \times 4 +1}{4}

4\tfrac{1}{4}=\frac{17}{4}

Also

1\tfrac{7}{8}=\frac{1 \times 8 +7}{8}

1\tfrac{7}{8}=\frac{15}{8}

Hence

4\tfrac{1}{4} ÷ 1\tfrac{7}{8}

can be written as

\frac{17}{4} ÷ \frac{15}{8}

Also we know the rule for dividing fraction is as given below

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

Hence

\frac{17}{4} ÷ \frac{15}{8} = \frac{17}{4} \times \frac{8}{15}

=\frac{17 \times 2}{15}

=\frac{34}{15}

8 0
2 years ago
Which property was used to simply the expression 3c+9+4c=3c+4c+9
34kurt
<span> commutative property</span>
7 0
2 years ago
How do I simplify this?
WINSTONCH [101]

Answer:

sorry ... good luck tho.....

6 0
2 years ago
BRAINLIEST
anygoal [31]

Answer:

Step-by-step explanation:

24x = 8*3*x

16 = 8* 2

Greatest common factor = 8

24x - 16 = 8(3x - 2)

3 0
2 years ago
Read 2 more answers
When solving negative one over five(x − 25) = 7, what is the correct sequence of operations?
Stells [14]
The answer is simply A
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2 years ago
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