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2 years ago

What is the value of the expression 8 P4 ? 32 1,680 40,296 40,320

Mathematics

1 answer:

Strike441 [17]2 years ago

7 0

Answer:

1,680

Step-by-step explanation:

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Answer:

13 and 53

Step-by-step explanation:

First Integer: x

Larger integer: 5x-12

66=x+(5x-12)

66= x+5x-12

66=6x+12

78=6x

13=x

First Integer: 13

Larger Integer: 13*5-12= 65-12=53

Check Work:

13+53=66

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

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What is the value of the expression 8 P4 ? 32 1,680 40,296 40,320​

What is the value of the expression 8 P4 ? 32 1,680 40,296 40,320