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3 years ago

Use the grouping method to factor this polynomial. x^3+2x^2+7x+14

Mathematics

1 answer:

Eva8 [605]3 years ago

3 0

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x3+2x2-7x-14

Factor out the greatest common factor from each group.

Tap for more steps...

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x2(x+2)-7(x+2)

Factor the polynomial by factoring out the greatest common factor,

x+2.

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hope i helped! (sorry if wrong)

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Simplify expressions

charle [14.2K]

<h3>a) $\frac{2}{5} \div ( - \frac{3}{4} )$ </h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2> $- \frac{2}{5} \div \frac{3}{4}$ </h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

<h3>Hence, Quotient = $- \frac{8}{15}$ </h3>

<h3>b) $0.4 \div ( - 0.75)$ </h3><h3>■Convert the decimals into a fractions</h3>

<h2> $\frac{2}{5} \div ( - \frac{3}{4} )$ </h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2> $- \frac{2}{5} \div \frac{3}{4}$ </h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

<h2> $- \frac{8}{15}$ </h2><h3>Hence, Quotient is $- \frac{8}{15}$ </h3>

<h3>c) $- \frac{2}{5} \div \frac{3}{4}$ </h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

<h2> $- \frac{8}{15}$ </h2><h3>Hence, The Quotient is $- \frac{8}{15}$ </h3>

4 0

2 years ago

How do you simplify this

Dafna11 [192]

Top:

x / (x + 1) - 1 / x

= [x^2 - (x +1)] / x(x+1)

= (x^2 - x - 1 ) / x (x+1)

Bottom:

x / (x + 1) + 1 / x

= [x^2 + (x +1)] / x(x+1)

= (x^2 + x + 1 ) / x (x+1)

Now you have:

(x^2 - x - 1 ) / x (x+1)

----------------------------

(x^2 + x + 1 ) / x (x+1)

= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )

= (x^2 - x - 1 ) /(x^2 + x + 1 )

Answer:

x^2 - x - 1

---------------------

x^2 + x + 1

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3 years ago

Which set of numbers is infinite?

Setler [38]

B is the answer to your question

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3 years ago

Math question<br>5x-5 (6*7x)=65

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$5x-5(6\cdot7x)=65\\\\5x-5(42x)=65\\\\5x-210x=65\\\\-205x=65\qquad\text{divide both sides by (-205)}\\\\x=-\dfrac{65}{205}\\\\x=-\dfrac{65:5}{205:5}\\\\\boxed{x=-\dfrac{13}{41}}$

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3 years ago

The weight of one ticket is approximately 1.67 × 10-4 g. Write the numerical value without scientific notation.

mojhsa [17]

Answer:

0.000167 g

Step-by-step explanation:

$1.67 \times {10}^{ - 4} \: g\\ \\ = 0.000167 \: g$

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3 years ago