Question

Which of the following is a zero of the polynomial p(x) = (x+5)(x-2)? ​

Answer 1

Question :- Which of the following is a zero of the polynomial p(x) = (x+5)(x-2) ? 

Solution :-

As we know that, a zero of a polynomial are the values of x that cause the polynomial to = 0.

To find the zeros of the given polynomial first put the polynomial Equal to zero.

So ,

→ p(x) = 0

→ (x + 5)(x - 2) = 0

Now, to make the polynomial equal to 0, either value of (x + 5) will be 0, or value of (x - 2) will be 0.

So,

if (x + 5) is Equal to 0 :-

→ (x + 5) = 0

Taking 5 on RHS side, + sign will change into (-) Negative.

→ x = 0 - 5

→ x = (-5)

and,

if (x - 2) is Equal to 0 :-

→ (x - 2) = 0

Taking (-2) on RHS side, - sign will change into (+) .

→ x = 0 + 2

→ x = 2.

Therefore,

Zeros of the given polynomial are (-5) and 2.

Answer 2

Answer:

Step-by-step explanation:

HELLO DEAR,

The given polynomial ,

P(x) = (x+5)(x-2)

So, its zero polynomial is

(x+5)=0. (x-2)= 0

x= -5. x= 2

Verification,

P(x)= (x+5)(x-2)

P(x)= x^2 -2x +5x -10

P(x)= x^2 +3x -10

By putting root x= -5

P(-5)= (-5)^2 +3(-5) -10

P(-5)= 25 - 15 - 10

P(-5)= 25 - 25

P(-5)= 0

And by putting anothe root x= 2

P(2)= (2)^2 + 3(2) - 10

P(2) = 4 + 6 -10

P(2)= 10 - 10

P(2)= 0

Theefore -5 and 2 is zero of given ploynomial.

I HOPE IT HELP YOU DEAR,

THANKS.