All categories

3 years ago

Use the Remainder Theorem to determine whether or not x + 3 is a divisor of p (x) = 2x^3 + 4x^2 - 2x + 12

Mathematics

2 answers:

kirill [66]3 years ago

7 0

Answer:

P(x)=2x^3+4x^2-2x+12

=2x(-3)^3+4x(-3)^2-2x(-3)+12

=-54+36-(-6)+12

=-54+54

Paraphin [41]3 years ago

6 0

Step-by-step explanation:

This is answer. I'm sri lankan. But our a/l exam have this mathematics questions

You might be interested in

Could someone help me with this?

natulia [17]

Distributive property was the first property used in STEP 1, where -4 was distributed to -3x+ 2 resulting in the equation in STEP 1. Next in STEP 2, commutative property of addition no matter how 12x and 6x are arranged, when you add them together the result will be the same.
*Take note that 12x and 6x are put together because they are like terms.

For Steps 3 and 4, you will see that the addition property of equality was used in STEP 3. To keep the equation equal, you will add the same number on both sides.

STEP 4 uses Division property of Equality. Like Step 3, to keep both sides of the equation equal, you must divide both sides with the same number. It keeps the statement true by doing so.

STEP 4 and 5 uses transitive property if you examine both as a whole.
Transitive property assumes that if a = b and b = c, then a = c

If 18/18 (a) = 1 (b), and x (c) = 18/18(a) then, x (c) = 1 (b).

5 0

3 years ago

Alyssa spent 365 hours commuting on the train over the course of 54 days.if she rode the same amount of time per day , approxima

Alecsey [184]

Approximately 6.8 hours Alyssa spends on the train per day.

Given that, Alyssa spent 365 hours commuting on the train over the course of 54 days.

We need to find the number of did Alyssa spend on the train per day.

<h3>What is an equation?</h3>

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of hours Alyssa spends on the train per day be x.

Now, x=365/54

=6.759≈6.8 hours

Therefore, approximately 6.8 hours Alyssa spends on the train per day.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ4

8 0

2 years ago

What is the unit rate of $200 for 18ft

sergejj [24]

I hope this helps you

if 18 ft 200$

1 ft ? $

?.18=200.1

?=200/18

?=11,111111

5 0

3 years ago

The sum of a 3 digit number and a 1 digit number is 217. The product of the numbers is 642. If one number is between 200 and 225

algol [13]

Let, the numbers be "x" and "y". Consider "x" as the triple digit number.
Now, according to the question,
x + y = 217..........................equation (1)

x * y = 642............................equation (2)

Now,
Taking equation (2),
x * y = 642
y = 642 / x..................................equation (3)

Now, Taking equation (1),
$x+y=217$

Substituting the value of y from equation (3), we get,

$x+ \frac{642}{x} =217$

$\frac{x *x+642}{x} =217$

$x^{2} +642 =217*x$

$x^{2} +642 =217x$

$x^{2} +642-217x =0$

$x^{2} -217x+642 =0$

$x^{2} -3x-214x+642 =0$

$x(x-3)-214(x-3)=0$

$(x-3)(x-214)=0$

Using zero product property,
EITHER,
x - 3 = 0
x = 3
OR,
x - 214 = 0
x = 214
Since, "x" is the triple digit number, x = 214.
Now,
Taking equation (2),
x * y = 642
Substituting the value of "x" in the equation, we get,
(214) * y = 642
y = 642 / 214
y = 3

So, the numbers are 214 and 3.

5 0

3 years ago

Evaluate ab – 0.5b when a = 1 and b = 5

arsen [322]

15 - 0.5 x 5 = 12.5

3 0

3 years ago