The polynomial that is twice the sum of given polynomials is -4x²-6.
The given polynomials are:
1)[tex]4x^{2} -x+1[/tex]
2)[tex]-6x^{2} +x-4[/tex]
What is a polynomial?
A polynomial is a sum of monomials of the form axⁿ where n is a whole number.
The sum of the given polynomials will be:
[tex](4x^{2} -x+1)+(-6x^{2} +x-4)[/tex]
[tex]=(4x^{2} -6x^{2} )+(x-x)+(1-4)[/tex]
[tex]=-2x^{2} -3[/tex]
So, twice the sum of polynomials will be:
[tex]2(-2x^{2} -3)[/tex]
[tex]=-4x^{2} -6[/tex]
Hence, the polynomial that is twice the sum of given polynomials is -4x²-6.
To get more about polynomials visit:
https://brainly.com/question/2833285
