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svetlana [45]
3 years ago
15

Factor - 3y(2y + 3) - 5(2y + 3)

Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Answer:

-(2y+3)×(3y+5)

Step-by-step explanation:

- 3y(2y + 3) - 5(2y + 3)

Factor out - (2y+3)

-(2y+3)×(3y+5)

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Can someone please help me?
kvasek [131]

now, let's recall the rational root test, check your textbook on it.

so p  = 18 and q = 1

so all possible roots will come from the factors of ±p/q

now, to make it a bit short, the factors are loosely, ±3, ±2, ±9, ±1, ±6.

recall that, a root will give us a remainder of 0.

let us use +3.


\bf x^4-7x^3+13x^2+3x-18 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{r|rrrrr} 3&1&-7&13&3&18\\ &&3&-12&3&18\\ \cline{1-6} &1&-4&1&6&0 \end{array}\qquad \implies (x-3)(x^3-4x^2+x+6)


well, that one worked... now, using the rational root test, our p = 6, q = 1.

so the factors from ±p/q are ±3, ±2, ±1

let's use 3 again


\bf \begin{array}{r|rrrrr} 3&1&4&1&6\\ &&3&-3&-6\\ \cline{1-5} &1&-1&-2&0 \end{array}\qquad \implies (x-3)(x-3)(x^2-x-2)


and of course, we can factor x²-x-2 to (x-2)(x+1).

(x-3)(x-3)(x-2)(x+1).

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What is the value of x<br><br>46<br><br>56<br><br>67<br><br>134
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Hey there!

1.) let's remember that a acute angel is very tiny, it is less then 90 degrees. So we would want to find one of your options that would be very small.

46 would seem to be the answer.

x=46

Hope this helps you.
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