Math, asked by vgood22333, 10 months ago

Prove that the polynomial x2 + 2x + 3 has no zero

Answers

Answered by Pakcricket1000

Answer:

Let

For finding roots to the polynomial, we need to equate it to 0.

For a quadratic polynomial a x^{2}+b x+c=0 to have roots, the discriminant needs to be examined.

i.e., If , the roots are real.

If , the roots are imaginary.

If , the roots are equal.

In the given problem, in which a=1, b=2, c=5

The roots are imaginary

There are no real roots for the given quadratic equation.

Hence, proved.

Step-by-step explanation:

Answered by arshbbcommander

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p(x) = x² + 2x + 3

To find zeros

p(x)=0

x²+2x+3=0

By using quadratic formula.

D=b²-4ac

D=2²-4×1×3

D=4-12

D=-8

Since can't be in negative.

The given polynomial doesnt have real roots.

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...Hope it helps....

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