Question

find the zeros of the polynomial x square - 5​

Answer 1

Answer- The above question is from the chapter 'Polynomials'.

Let's know about quadratic polynomial first.

Quadratic polynomial- A polynomial whose highest power of variable is 2 is called a quadratic polynomial.

Examples:

1) x² + 2x + 2

2) 2x² + 4x + 1

Relationship between zeroes and coefficients of a quadratic polynomial:

Let p(x)= ax² + bx + c be any quadratic polynomial in x.

Let α and β be its zeroes.

Sum of zeroes i.e α and β= -b/a

Product of zeroes i.e αβ= c/a

Given question: Find the zeros of the polynomial x² - 5​.

Solution: Let p(x) = x² - 5

⇒ x² = 5

x = ±√5

∴ x = +√5 and x = -√5 are the zeroes of the p(x) = x² - 5.

Answer 2

Answer:

Answer- The above question is from the chapter 'Polynomials'.

Let's know about quadratic polynomial first.

Quadratic polynomial- A polynomial whose highest power of variable is 2 is called a quadratic polynomial.

Examples:

1) x² + 2x + 2

2) 2x² + 4x + 1

Relationship between zeroes and coefficients of a quadratic polynomial:

Let p(x)= ax² + bx + c be any quadratic polynomial in x.

Let α and β be its zeroes.

Sum of zeroes i.e α and β= -b/a

Product of zeroes i.e αβ= c/a

Given question: Find the zeros of the polynomial x² - 5.

Solution: Let p(x) = x² - 5

⇒ x² = 5

x = ±√5

∴ x = +√5 and x = -√5 are the zeroes of the p(x) = x² - 5.