Question

Is it true to say that zeroes of the quadratic polynomial x 2 + 35x + 300 are both negative? Explain without actually finding zeroes.

Answer 1

Answer:-

Given Quadratic polynomial is

p(x) = x² + 35x + 300

Let it's zeros be Alpha and Beta

As we know

Alpha + Beta = -35 And. Alpha × Beta = 300

Now, without finding the actual roots of the polynomial we need to find out that whether both the roots of the polynomial are either negative or positive...This can be only done by using the logic and the logic is

Alpha × Beta = 300

is only true when both Alpha and Beta are both negative. Becoz we know that product of two negative terms is always a positive quantity.

So, Both the zeros of the given Quadratic polynomial are negative.

Answer 2

Answer:

Sorry Don't know this answer