Question

From a quadratic polynomial whose zeroes are -3 and 4

Answer 1

Answer:

see in the picture

Step-by-step explanation:

I hope this will help you

Answer 2

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: Form a quadratic polynomial whose zeroes are -3 and 4.

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

Let α and β be its zeroes.

⇒ α= -3 and β= 4

α + β= -b/a

-3 + 4 = -b/a

1 = -b/a

-1/1 = b/a

αβ= c/a

-3 × 4 = c/a

-12/1 = c/a

⇒ a= 1, b= -1 and c= -12

∴ p(x)= x² - x - 12 is required quadratic polynomial.