If it has those roots, the simplest one will have (x+2),(x-2),(x+3). So multiply those three together. =(x^2-4)(x+3)=x^3+3x^2-4x-12.
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2x^3 - 5x^2 - 14x + 8 Let P(x) represents the cubic polynomial. We can find the sum of x-values which make P(x) = 0, (the sum of the roots of the equation) P(x) = 2x^3 - 5x^2 - 14x + 8 P(x) = 0 2x^3 - 5x^2 - 14x + 8 = 0 Since the degree of this polynomial is odd, then the sum of the roots is -[a(n - 1)/an], where a(n-1) is -5 and an is 2. So we have, -[a(n - 1)/an] = -(-5/2) = 5/2 Thus the sum of the roots is 5/2.
A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.
No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).
Not necessarily, take for example the equation x^2=5-12i. Then, 3-2i satisfies the equation. However, 3+2i does not because (3+2i)^2 = 5+12i.
The polynomial P(x)=(x-3)(x-0)(x+3)(x-1) is of the fourth degree.