ZeaIidn
Answered

IDNLearn.com connects you with a global community of knowledgeable individuals. Discover in-depth and reliable answers to all your questions from our knowledgeable community members who are always ready to assist.

(Due soon) Check each factorization to find the polynomial that does not have its GCF correctly factored out.
Choose the correct answer below.


12x^(2)+8x=4x(3x+2)

15x^(2)+12x+9=3(5x^(3)+4x+3)

4x^(4)+12x^(3)+18x^(2)=2x^(2)(2x^(2)+6x+9)

16x^(5)+24x^(2)=4x^(2)(4x^(3)+6)

Due Soon Check Each Factorization To Find The Polynomial That Does Not Have Its GCF Correctly Factored Out Choose The Correct Answer Below 12x28x4x3x2 15x212x93 class=

Sagot :

VirαtKσhliidn

Answer:

Option d

Step-by-step explanation:

Given options are ,

  • 12x² + 8x = 4x( 3x + 2)

Firstly find the GCF of 12x² and 8x .

The GCF of 12 and 8 is 4 , whereas the GCF of x² and x is x , So

→ GCF(12x² , 8x) = 4*x = 4x

Therefore the GCF is correctly factored out from the polynomial .

______________________________________

  • 15x² + 12x + 9 = 3(5x² + 4x +3)

Here GCF of 15x² , 12x and 9 , will be ;

GCF of 15,12 and 9 is 3 whereas of x² , x and 1 is 1

→ GCF = 3*1 = 3

Therefore the GCF is correctly factored out from the polynomial .

______________________________________

  • 4x⁴+ 12x³ +18x² = 2x²(2x² + 6x + 9 )

Here GCF of 4 , 12 and 18 is 2 and that of x⁴ , x³ and x² is x² . So ,

→ GCF = 2*x² = 2x²

Therefore the GCF is correctly factored out from the polynomial .

______________________________________

  • 16x^5 + 24x² = 4x²( 4x³ + 6 )

Here GCF of 16 and 24 is 8 and that of x^5 and x² is x² . So ,

→ GCF = 8*x² = 8x²

But they have factored out 4x² .

Therefore the GCF is " not " correctly factored out from the polynomial .

Option d is correct .

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.