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Nadya [2.5K]
3 years ago
8

Using factor theorem , show that (x -4) is a factor 2x3 + x2 -26x - 40 and hence factorize completely.

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Step-by-step explanation:

if x-4 is a factor of 2x^3 + x^2- 26x - 40

then f(4) = 0

f(x) = 2x^3 + x^2- 26x - 40

f(4) = 2(4)^3 + (4)^2 - 26(4) - 40

f(4)= 2(64) + 16 - 104 - 40

f(4) = 128 + 16 - 104 - 40

f(4) = 0

hence factorize completely is the photo

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Solve for y in 7y - 3/4 = -1/4y - 1/3
iris [78.8K]
Answer for y is y=5/87
4 0
3 years ago
find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi
Dmitrij [34]

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)

Solve the above equation:

\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\

The roots of the polynomial are as follows:

 \Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow  x_1,x_2,x_3.........x_n

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

8 0
3 years ago
Read 2 more answers
A/-8+15>23 isn't this weird to you guys too
yanalaym [24]
Let's solve your inequality step-by-step.
<span><span><span>
a − 8 </span>+ 15 </span>> <span>23

</span></span>Step 1: Simplify both sides of the inequality.
<span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>> 23
</span>
Step 2: Subtract 15 from both sides.
<span><span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>− 15 </span>> <span>23 − 15 
</span></span><span><span><span><span>
−1/</span>8</span>a </span>> 8 
</span>
Step 3: Multiply both sides by 8/(-1).
<span><span><span>
(<span>8/<span>−1</span></span>) </span>* <span>(<span><span><span>−1/</span>8</span>a</span>) </span></span>> <span><span>(<span>8/<span>−1</span></span>) </span>* <span>(8)
</span></span></span><span>
a < <span>−<span>64

Therefore, the answer is a < -64! I hope this helped! :)</span></span></span>
4 0
3 years ago
Here all the other ones .
Crazy boy [7]

Answer:

The answer is b

Step-by-step explanation:

5 0
3 years ago
WILL GIVE BRAINLIEST need help asap
Aleonysh [2.5K]

The location of the y value of R' after using the translation rule is -10

<h3>What will be the location of the y value of R' after using the translation rule? </h3>

The translation rule is given as:

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The pre-image of R is located at (-17, -3)

Rewrite as

R = (-17, -3)

When the translation rule is applied, we have:

R' = (-17 + 4, -3 - 7)

Evaluate

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Remove the x coordinate

R'y = -10

Hence, the location of the y value of R' after using the translation rule is -10

Read more about translation at:

brainly.com/question/26238840

#SPJ1

5 0
2 years ago
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