Question

Verify whether x= 5 is the zero of the polynomial p(x) = (x+5) (x-5)

Answer 1

Answer:

p(x)=(x+5)(x-5)

p(5)=(5+5)(5-5)

p(5)=(10)(0)

any number multiplied by zero is zero

p(5)=10 into 0

p(5)=0

Hence p(5) is a zero of th polynomial (x+5)(x-5)

You can use the property of (a+b)(a-b)=a²-b²

Step-by-step explanation:

Hope this helps.

Answer 2

Step-by-step explanation:

$\underline\red{Given~that}$ $\bf\green{:-}$

x = 5

Therefore ,

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

P (5) = (5 + 5) (5 - 5)

P (5) = 10 × 0

P (5) = 0

Hence ,

x = 5 is the zero of the polynomial .

$\underline\red{By~Formula}$ $\bf\green{:-}$

$\bf\blue{({a~+~b})}\blue{({a~-~b})}$ = $\bf\blue{a}^{2}{-}\blue{b}^{2}$

P (5) = (5 + 5) (5 - 5)

P (5) = $\bold{5}^{2}{-}{5}^{2}$

P (5) = 25 - 25

P (5) = 0

Hence, X = 5 is the zero of the polynomial.