Question

find the
quadratic polynomial
the sum and the product of
whose zoroes are 2 and -3​

Answer 1

Answer:

x² - 2x - 3

Step-by-step explanation:

Sum of Zeroes = 2

Product of zeroes = -3

We know that,

Polynomial = x² - (sum of zeroes)x + Product of zeroes

= x² - (2)x +(-3)

= x² - 2x -3

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Answer 2

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➝ α + β = 2

➝ α × β = -3

⸕ In Quadratic polynomial,

we know that,

quadratic polynomial = x² - ( α + β )x + ( α × β )

➝ x² - (2)x + (-3)

➝ x² - 2x - 3

Hence, required polynomial will be x² - 2x - 3.

$\underbrace{\bf\:More\:Information}$

➝ Quadratic polynomial :- A polynomial of degree 2 is called a quadratic polynomial.

• A quadratic polynomial is of the form p(x) = ax² - bx + c where a ≠ 0

➝ Linear polynomial :- A polynomial of degree 1 is called a linear polynomial.

• A linear polynomial is of the form p(x) = ax + b where a ≠ 0.

➝ Cubic polynomial :- A polynomial of degree 3 is called a cubic polynomial.

• A cubic polynomial is of the form p(x) = ax³ + bx² + cx + d where a ≠ 0.