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Misha Larkins [42]

2 years ago

11

Factor Completely: 6x2 + 28x − 10

1 answer:

Anestetic [448]2 years ago

8 0

Answer:

$2(x + 15)(x-1)$

Step-by-step explanation:

In order to factor, we take out common terms.

$6x^{2} + 28x -10$
The biggest common term we can factor out is 2:
$2(3x^{2} +14-5)$
Now we factor the area in parentheses into 2 binomials. To do this we need 2 numbers that multiply to be -15 and add to be 14. Theses numbers are 15 and -1.
$2(x + 15)(x-1)$

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Step-by-step explanation:

To find:

∫ $6x^5(x^6-2)\,dx$

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Method of substitution:

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Put $t=x^6-2$

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Use $(a-b)^2=a^2+b^2-2ab$

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Without using substitution:

∫ $6x^5(x^6-2)\,dx$ = ∫ $6x^{11}-12x^5\,dx$ = $\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C$

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