Question

form a quadratic polynomial whose one zero is 4 and the product is 38​

Answer 1

a quadratic polynomial, whose zeroes are -3 and 4 is

Answer 2

Answer-The quadratic polynomial is $x^2-27+38=0$

Explanation- Given- one zero is $4$ product is $38$

Solution- To form a quadratic equation

Let's consider two zero as $\alpha, \beta$

$\alpha=4\\\alpha \beta =38$

$\beta=\frac{38}{4}$

$\alpha+\beta=4+\frac{19}{2}\\ =\frac{8+19}{2}\\ =\frac{27}{2}$

The quadratic equation will be

$x^2-(sum of roots)+product of roots =0$

$x^2+(\alpha+\beta)+\alpha \times beta =0$

$x^2-\frac{27}{2}+38 =0$

#SPJ2