Final answer:
To sum the polynomials 11x²-5 and x+4, we add the like terms to get the result 11x² + x - 1.
Step-by-step explanation:
The sum of the polynomials 11x²-5 and x+4 is found by combining like terms. The x² terms and the constant terms are combined separately since they are not like terms.
To find the sum:
Combine the x² terms: 11x² and there's no x² term in the second polynomial, so it remains 11x².
Combine the x terms: There's no x term in the first polynomial, but there is an x in the second, so we have x.
Combine the constant terms: -5 from the first polynomial and +4 from the second polynomial gives us -1.
The sum of the polynomials is 11x² + x - 1.
This procedure aligns with solving a quadratic equation of the form ax² + bx + c = 0, but in this case, we are adding two polynomials rather than setting them equal to zero.