Write the family of Quadric Polynomial having -1/4 and 1 as it's 0
Answers
Step-by-step explanation:
According to the fundamental theorem of algebra a polynomial of order n has exactly n roots (up to multiplicity, i.e. a number can be a root multiple times). A quadratic is a polynomial of order 2, so it has two roots, or zeroes.
However, these might not all be real roots. To find out how many real roots a quadratic of form ax2+bx+c has, one has to check its discriminant. The discriminant D is defined as D=b2−4ac (you might notice that its the expression inside the square root sign in the quadratic formula).
If the discriminant is positive, the polynomial has two distinct real roots. If the discriminant is negative the polynomial has no real roots. If the discriminant is exactly zero, the polynomial has one double real root.
Answer:
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