Question

draw a graph of the polynomial p (x)=x2_4x_5 and find the zeros

Answer 1

5 and -1 are zeroes................

Answer 2

Answer:

The zeros of the given polynomial are -1 and 5.

Step-by-step explanation:

The given polynomial is

$f(x)=x^2-4x-5$

$f(x)=x^2-5x+x-5$

$f(x)=x(x-5)+1(x-5)$

$f(x)=(x+1)(x-5)$

To find to zeros of the given polynomial equate f(x) equals to 0.

$f(x)=0$

$(x+1)(x-5)=0$

Using zero product property, equate each factor equal to 0.

$x+1=0\Rightarrow x=-1$

$x-5=0\Rightarrow x=5$

Therefore the zeros of the given polynomial are -1 and 5.