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serg [7]
3 years ago
13

Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next?

Mathematics
2 answers:
Jlenok [28]3 years ago
4 0
Without knowing what Faelyn has done so far or what she is working with, the second selection seems appropriate.

6x^4 -5x^2 -4
= (6x^4 +3x^2) -(8x^2 +4)
= 3x^2*(2x^2 +1) -4(2x^2 +1)
= (3x^2 -4)(2x^2 +1)
nadya68 [22]3 years ago
3 0

Answer:

(3x^2-4)(2x^2+1)

Step-by-step explanation:

Given that Faelyn noticed that she does not have a common factor.

The polynomial is

6x^4-5x^2-4

She can multiply constant term and leading term.

6*-4 =-24

The factors are -8 and 3 which when added give the middle coefficient -5.

Hence this can be factored by grouping as

(6x^4+3x^2)-(8x^2+4)\\= 3x^2(2x^2+1)-4(2x^2+1)\\=(3x^2-4)(2x^2+1)

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in 2009 a total of R36 000 was invested in two accounts. One account earned 7% annual interest and the other earned 9% .The tota
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\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}

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A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
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Hey!

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Surface Area Formula: 2LW * 2LH * 2WH

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2LH:

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