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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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3 years ago

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2 numbers can be represented by the variables x and y.

Set up a system of equations:

$x + y = 33$

$x - y = 1$

The two numbers added together will result in a sum of 33. However, one number subtracted from another will result in a difference of 1.

In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:

$(x + x) + (y - y) = (33 + 1)$

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Divide both sides by 2 to get x by itself:

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One of the numbers will be 17.

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3 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