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3 years ago

Find the value of k if (x-3) is a factor of P(x)=2x3-5x2+3x+k

Mathematics

1 answer:

blsea [12.9K]3 years ago

4 0

Answer:

k = -18

Step-by-step explanation:

If x-3 is a factor, what this means is that if we substitute;

x = 3 into the equation, we should get 0

This is from the factor theorem

Thus ;

P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k

0 = 54 - 45 + 9 + k

k + 18 = 0

k = -18

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If a non zero number is divided by a zero then what is the notation to denote it

enot [183]

Answer:

0 Divided by a Number 0a=0 Dividing 0 by any number gives us a zero. Zero will never change when multiplying or dividing any number by it.

if i helped please give brainliest and a thanks !!

3 0

3 years ago

The measure of angle P is five less than four times the measure of angle Q. Of angle P and angle Q are supplementary angles, fin

Andru [333]

Answer:

m∠P=140°

Step-by-step explanation:

Given:

∠P and ∠Q are supplementary angles.

The measure of angle P is five less than four times the measure of angle Q.

To find m∠P

Solution:

The measure of angle P can be given as:

A) $m\angle P=4(m\angle Q-5)$

And

B) $m\angle P+ m\angle Q=180$ [Definition of supplementary angles]

Substituting equation A into B.

$4(m\angle Q-5)+ m\angle Q=180$

Solving for $m\angle Q$

Using distribution:

$4m\angle Q-20+ m\angle Q=180$

Simplifying by combining like terms.

$5m\angle Q-20=180$

Adding 20 to both sides.

$5m\angle Q-20+20=180+20$

$5m\angle Q=200$

Dividing both sides by 5.

$\frac{5m\angle Q}{5}=\frac{200}{5}$

$m\angle Q=40$

Substituting $m\angle Q=40$ in equation B.

$m\angle P+ 40=180$

Subtracting both sides by 40.

$m\angle P+ 40-40=180-40$

$m\angle P=140$

Thus, we have:

m∠P=140° (Answer)

7 0

3 years ago

In the diagram below, AD || EH, m/ABF

Oksanka [162]

Answer:

Step-by-step explanation:for the triangle GIF, angle g = 80

angle f = 42 since angle FBA = 138

so angle i = 180 - 42 - 80

= 58

4 0

1 year ago

The sahara desert cover 3579000 square miles the entire United states is about 40000 square miles larger what is the area of the

TiliK225 [7]

The answer would be 3539000 square miles.

7 0

2 years ago

Can you help with 3 and 4

Aliun [14]

1. 7, you have to divide 10,885 by 1,555 and you get 7.

2. The equation that was given, 23+7 x 35 = 268

The way you get 268 is by multiplying first, so 7 x 35 = 245 then you have to add 23 to get 268.

I hope this helps you

5 0

3 years ago