Question

a real number "a" is a 0 of polynomial p (x) if p (a) = 0 . in this case, a is also called a ......... of the equation p (x) = 0

Answer 1

Answer:

Any real number α is said to be a zero of polynomial p(x) if p(α)=0.

Zero can be seen as the value of x for which the polynomial takes the value as zero.

So, if x

2

−2x+1 is a polynomial, we know at x=1, the value of x

2

−2x+1=0, hence x=1 can be said as zero of x

2

−2x+1

Hence, the answer is p(α)=0.

Step-by-step explanation:

The zero of the polynomial is defined as any real value of x, for which the value of the polynomial becomes zero.

A real number k is a zero of a polynomial p(x), if p(k) = 0.

For example P(x)=x

2

−3x−4

then P(−1)=(−1)

2

−(3×−1)−4=0

and P(4)=(4)

2

−(3×4)−4=0

∴ -1 and 4 are called the zeros of the quadratic polynomial x

2

−3x−4

A polynomial of degree three is called a cubic polynomial. A real number 'a' is a zero of a polynomial p(x) if p(a) = 0. In this case, a is also called a root of the equation p(x) = 0.

Answer 2

a real number k is a zero of polynomial p(x)

p(k) =0

for example p (x)

2

-3x-4

then p (-1) =(-1)

2

(-3×4) -4=0

and p (4)=4

-1 and 4 are called the zero of the quardic polynomial x -3×4