What is the sum of the roots of the polynomial shown below?
f(x) = x^3 + 2x^2 - 11x-12

Sum of the roots of the polynomial

Solution:

The general form of cubic polynomial is ---- (1)

If we have any cubic polynomial having roots

Sum of roots = ---(2)

From question given that,

--- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

=

= -2

Hence the sum of the roots of the polynomial

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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