Write the polynomial expression in simplest form: x2−9x2−4⋅4x−812x+36 .(1 point)
Responses
13
Start Fraction 1 over 3 End Fraction
x−33(x+2)
Start Fraction x minus 3 over 3 left parenthesis x plus 2 right parenthesis End Fraction
(x−3)(x−2)3(x+2)(x+2)
Start Fraction left parenthesis x minus 3 right parenthesis left parenthesis x minus 2 right parenthesis over 3 left parenthesis x plus 2 right parenthesis left parenthesis x plus 2 right parenthesis End Fraction
2(x−3)6(x+2)
The correct response is: (x−3)(x+2)3(x+2)(x+2)
To simplify the polynomial expression x^2 - 9x^2 - 4*4x - 8/12x + 36, we can combine like terms:
x^2 - 9x^2 simplifies to -8x^2.
-4*4x simplifies to -16x.
8/12x simplifies to 2/3x.
Now we have -8x^2 - 16x + 2/3x + 36. To further simplify, we can combine the x terms:
-8x^2 - 16x + 2/3x simplifies to -8x^2 - (46/3)x.
Finally, the simplest form of the polynomial expression is -8x^2 - (46/3)x + 36.
To simplify the polynomial expression, we need to combine like terms and factor out common factors.
The polynomial expression provided is: x^2 - 9x^2 - 4 * 4x - 8 * 12x + 36.
Let's simplify step by step:
1. Combine like terms:
- The first term is x^2, and the second term is -9x^2. Combining them, we get -8x^2.
- The third term is -4 * 4x, which simplifies to -16x.
- The fourth term is -8 * 12x, which simplifies to -96x.
The simplified expression now becomes: -8x^2 - 16x - 96x + 36.
2. Combine like terms again:
- The second and third terms are both multiplied by "x". Combining them, we get -16x - 96x = -112x.
The simplified expression now becomes: -8x^2 - 112x + 36.
So, the polynomial expression in simplest form is -8x^2 - 112x + 36.