Question

Find the zeroes of polynomial X2-2x-3

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Zeros of quadratic equation are $\bf x = 3$ and $\bf x = - 1$.

Given:

• ${x}^{2} - 2x - 3$

To find:

• Find the zeroes of the polynomial.

Solution:

Concept to be used:

• A standard quadratic equation is given by $\bf a {x}^{2} + bx + c = 0$where a≠0.
• To find its zeros factorise the polynomial then find the value of x.

Step 1:

Factorise the given polynomial.

${x}^{2} - 2x - 3$

split the middle term.

${x}^{2} - 3x + x - 3$

or

$x(x - 3) + 1(x - 3)$

or

$\bf {x}^{2} - 2x - 3 = (x - 3)(x + 1)$

Step 2:

Equate the factors with zero.

As to find zeros ; the polynomial should be written as equation.

${x}^{2} - 2x - 3 = 0$

or

$(x - 3)(x + 1) = 0$

or

$x - 3 = 0$

or

$\bf x = 3$

and

$x + 1 = 0$

or

$\bf x = - 1$

Thus,

Zeros of quadratic equation are $\bf x = 3$ and $\bf x = - 1$.

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