Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers.
20x9 - 20x7 - 16x2
5x=25/40
I don't know where abdullahi got his answer, but it needs to be reduced to:
5x = 5/8
x = 1/8
Exponents are written online with vertical carats (^). To find the GCF, first find the prime factors.
(2*2*5)x^9 - (2*2*5)x^7 - (2*2*2*2)x^2
The GCF = 4x^2
I hope this helps a little more.
To factor out the greatest common factor from the polynomial 20x^9 - 20x^7 - 16x^2, we need to find the largest common factor of the coefficients of each term and the variables raised to their respective exponents.
Step 1: Find the greatest common factor (GCF) of the coefficients.
The coefficients of the terms are 20, -20, and -16. The GCF of these numbers is 4. Divide each coefficient by 4:
20 ÷ 4 = 5
-20 ÷ 4 = -5
-16 ÷ 4 = -4
Step 2: Find the GCF of the exponents of the variable.
The exponents of the variable x in each term are 9, 7, and 2. The GCF of these exponents is 2.
Step 3: Combine the GCF of the coefficients and the GCF of the exponents.
The GCF of the coefficients, 4, and the GCF of the exponents, x^2, can be factored out from each term:
4x^2(5x^7 - 5 - 4x^7)
Step 4: Simplify the factored polynomial.
Combine like terms inside the parentheses:
4x^2(1x^7 - 5)
The simplified factored form of the original polynomial is 4x^2(1x^7 - 5).