Question

product zeros in polynomial ax²+bx+c is........​

Answer 1

Let's try this with a Quadratic (where the variable's biggest exponent is 2):

ax2 + bx + c

When the roots are p and q, the same quadratic becomes:

a(x−p)(x−q)

Is there a relationship between a,b,c and p,q ?

Let's expand a(x−p)(x−q):

a(x−p)(x−q)

= a( x2 − px − qx + pq )

= ax2 − a(p+q)x + apq

hope it helps you

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Answer 2

The product of the zeroes is equal to the constant term by the coefficient of x2. A polynomial having value 0 is called a zero polynomial.

See the attachment- #1