Question

Find a quadratic polynomial, whose sum and product of its zeroes is 4 and 1 respectively. *​

Answer 1

Answer:

$x {}^{2} - 4x + 1 \\ is \: a \:quadratic \: polynomial$

Answer 2

Question:

•Find a quadratic polynomial, whose sum and product of its zeroes is 4 and 1 respectively. *

Answer:

•Quadratic polynomial ; x² - 4x + 1 = 0

Step-by-step explanation:

Given that,

• Sum of roots (α + β) = 4
• Product of roots (αβ) = 1

As we know that,

↪Quadratic polynomial = x² - (α + β)x + αβ = 0

[ Putting values ]

↪ Quadratic polynomial = x² - (4)x + 1 = 0

↪Quadratic polynomial = x² - 4x + 1 = 0.