How do you solve a polynomial that is not Factorable?

The most reliable way I can think of to find out if a polynomial is factorable or not is to plug it into your calculator, and find your zeroes. If those zeroes are weird long decimals (or don’t exist), then you probably can’t factor it. Then, you’d have to use the quadratic formula.

What if a polynomial Cannot be factored?

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . is an irreducible polynomial.

How do you find possible zeros?

Use the Rational Zero Theorem to list all possible rational zeros of the function. Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial. If the remainder is 0, the candidate is a zero. If the remainder is not zero, discard the candidate.

How do you find non real zeros?

Imaginary roots appear in a quadratic equation when the discriminant of the quadratic equation — the part under the square root sign (b2 – 4ac) — is negative. If this value is negative, you can’t actually take the square root, and the answers are not real.

How do you find the zeros of a quadratic polynomial?

Hint: A quadratic equation is represented by $p(x) = a{x^2} + bx + c$, where a, b, c are the coefficients. To find the zeros of the quadratic polynomial, equate $p(x) = 0$.

How do you find the zeros of a function that Cannot be factored?

Find zeros of a polynomial function

1. Use the Rational Zero Theorem to list all possible rational zeros of the function.
2. Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial.
3. Repeat step two using the quotient found with synthetic division.

What if a quadratic equation Cannot be factored?

When asked to solve a quadratic equation that you just can’t seem to factor (or that just doesn’t factor), you have to employ other ways of solving the equation, such as by using the quadratic formula. The quadratic formula is the formula used to solve for the variable in a quadratic equation in standard form.