Question

_________is a quadratic polynomial whose sum of zeroes is 6 and product is 4 *

Answer 1

Answer:

X^2-6x+4

Is answer

Step-by-step explanation:

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Answer 2

Correct Question :-

Find a quadratic polynomial whose the sum and product of its zeros are 6 and 4.

$\bf\:{\underline{Solution}}:-$

• α + β = 6

• α × β = 4

⸕ In quadratic polynomial,

we know that,

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

➝ x² - (6)x + (4)

➝ x² - 6x + 4

Hence,the required polynomial will be x² - 6x + 4.

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➝ 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

For example :- 3x² + 5x -8 , 2x² -2√2x + 6

➝ Biquadratic polynomial :- A polynomial of degree 4 is called a biquadratic polynomial.

• A biquadratic polynomial is of the form p(x) = ax⁴ + bx³ + cx² + dx + e where a ≠ 0.

For example :- 2x⁴ + 3x³ - 5x² + 9x + 1