Question

show that the quadratic polynomial 4 x square + 12 x + 15 has no real zeros

Answer 1

hope this helps you ☺☺

Answer 2

Concept Introduction:

A quadratic equation's answer can be found using the quadratic formula in elementary algebra. Factoring, finishing the square, graphing, and other methods can be used to solve a quadratic formula in addition to the quadratic formula.

Given, $4x$²$+ 12x + 15$

To find, that the quadratic polynomial has no real zeros.

Solution:

According to Sridhar Acharya's formula,

If a quadratic polynomial has real zeros or roots,

Then, $b$²$- 4ac = 0$

So, according to the question,

$12$²$- 4. 4. 15$

$= 144- 240$

$-96$

Final Answer:

The final answer is, as the value is negative hence it is proved that it has no real zeros

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