High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Factor the GCF out of the polynomial below:

\[ 8x^6 + 12x^4 + 28x^3 \]

Answer :

The polynomial 8x⁶+12x⁴+28x³ factored with the GCF is 4x³(2x³ + 3x + 7).

To factor out the Greatest Common Factor (GCF) from the polynomial 8x⁶+12x⁴+28x³, we first need to identify the GCF of the coefficients and the variable parts.

Step 1: Identify the GCF of the coefficients

Coefficients: 8, 12, and 28

The GCF of 8, 12, and 28 is 4.

Step 2: Identify the GCF of the variable parts

Variable Parts: x⁶, x⁴, and x³

The GCF of x⁶, x⁴, and x³ is x³.

Step 3: Combine the GCFs

GCF of 8x⁶, 12x⁴, and 28x³ is 4x³.

Step 4: Factor the GCF out of the polynomial

We rewrite the polynomial by factoring out 4x³ from each term:

8x⁶ + 12x⁴ + 28x³ = 4x³(2x³) + 4x³(3x) + 4x³(7) = 4x³(2x³ + 3x + 7)

Step-by-step explanation:

Hey this much i could solve as possible

click the picture