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2 years ago

What is the complete factorization of the polynomial below

Mathematics

2 answers:

zepelin [54]2 years ago

7 0

Answer:

B. (x+4)(x+i)(x-i)

Step-by-step explanation:

Let $P(x)=x^3-4x^2+x-4$

We can factor this polynomial by grouping:

$P(x)=x^2(x-4)+1(x-4)$

We factor further to obtain:

$P(x)=(x^2+1)(x-4)$

$P(x)=(x^2-\sqrt{-1}^2)(x-4)$

We apply difference of two squares to get:

$P(x)=(x-i)(x+i)(x-4)$

Dovator [93]2 years ago

6 0

Answer:

(x+1)(x-1)(x+4)

Step-by-step explanation:

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Which of the following is the complete list of roots for the polynomial function f(x)=(x^2+6x+8)(x^2+6x+13)

MrMuchimi

Answer:

Step-by-step explanation:

$f(x)=(x^2+6x+8)(x^2+6x+13)\\\\f(x)=0\iff(x^2+6x+8)(x^2+6x+13)=0\iff\\x^2+6x+8=0\vee x^2+6x+13=0\\\\x^2+6x+8=0\\x^2+4x+2x+8=0\\x(x+4)+2(x+4)=0\\(x+4)(x+2)=0\iff x+4=0\ \vee\ x+2=0\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x^2+6x+13=0\qquad\text{subtract 13 from both sides}\\x^2+6x=-13\\x^2+2(x)(3)=-13\qquad\text{add}\ 3^2=9\ \text{to both sides}\\x^2+2(x)(3)+3^2=-13+9\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\(x+3)^2=-4$

8 0

2 years ago

Does anyone get this ???

nikklg [1K]

Answer:

no. sorry. :(

Step-by-step explanation:

8 0

2 years ago

Anyone know how to solve this??

Tom [10]

$Given : \frac{(x^\frac{2}{5})^9\;.\;(x^\frac{-4}{15})}{x^\frac{1}{3}}$

$\implies {(x^\frac{18}{5})\;.\; (x^\frac{-4}{15})}\;.\;(x^\frac{-1}{3})$

$\implies x^(^\frac{18}{5} ^-^\frac{4}{15}^-^\frac{1}{3}^)$

$\implies x^(^(^\frac{54 - 4}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{50}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{10}{3}^)^-^\frac{1}{3}^) = x^(^\frac{9}{3}^) = x^3$

$\implies x^k = x^3$

$\implies k = 3$

7 0

3 years ago

What is the value of x in this simplified expression

arsen [322]

Answer:

Step-by-step explanation:

(-j)^-7 = 1/(-j)^x

Changing LHS as

1/(-j)^7 = 1/(-j)^x

Comparing LHS and RHS

x = 7

8 0

3 years ago

Help please, what’s: 5x-7+2-2x=-26

svetoff [14.1K]

Answer:

Let's solve your equation step-by-step.

5x−7+2−2x=−26

Step 1: Simplify both sides of the equation.

5x−7+2−2x=−26

5x+−7+2+−2x=−26

(5x+−2x)+(−7+2)=−26(Combine Like Terms)

3x+−5=−26

3x−5=−26

Step 2: Add 5 to both sides.

3x−5+5=−26+5

3x=−21

Step 3: Divide both sides by 3.

−21

x=−7

Answer:

x=−7

3 0

3 years ago

Read 2 more answers