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3 years ago

1. (a) Show that the polynomial x⁴+ 4x³ + 6x² - 8 is divisible by x+2

Mathematics

1 answer:

Tpy6a [65]3 years ago

8 0

Answer:

Step-by-step explanation:

if x= -2

and P(x)=x^4+4x^3+6x^2-8

then P(-2)=(-2)^4+4*(-2)^3+6*(-2)^2-8=16-32+24-8=0

so P(x)=(x+2)* Q(x) and P(x) is divisible by x+2

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What are the next three terms in the pattern 2, 6, 18, 54, ...?

castortr0y [4]

Answer:

OPTION B: 162, 486, 1458

Step-by-step explanation:

The given sequence is 2, 6, 18, 54, . . .

It is a geometric sequence and the common difference is 3.

The general form of a geometric sequence is: a, ar, ar², ar³, . . .

Here a = 2 and r = 3.

$n^{th}$ term of a Geometric progression is $ar^{n - 1}$ .

Note that the fourth term is 54.

i.e., $ar^3 = 54$

$\implies ar^4 = ar^3 . r = 54 . 3 = 162$ .

Similarly, $ar^6 = 162 \times 3 = 486$ .

Also, $ar^7 = ar^6 . r = 486 \times 3 = 1458$ .

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2 years ago

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3 years ago

A restaurant uses 8 1/4 pounds of carrots to make 6 carrots cakes . Frank wants to use the same recipe. How many pounds of carro

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1 1/2 pounds

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2 years ago

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Quadrilateral A has side lengths of 2, 3, 5, and 6. Quadrilateral B has side lengths 4, 5, 8, and 10. Could one of those quadril

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Answer:

Step-by-step explanation:

The ratios of the two shortest sides are different:

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3 years ago

Please help figure this out

expeople1 [14]

Answer:

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2 years ago

1. (a) Show that the polynomial x⁴+ 4x³ + 6x² - 8 is divisible by x+2​

1. (a) Show that the polynomial x⁴+ 4x³ + 6x² - 8 is divisible by x+2