Question

Find the quadratic polynomial, the sum of whose Zeros is √2 and their product is -12. Hence, find the Zeros of the polynomial.

Answer 1

Answer:

Hope my answer helps you mate :-)

Step-by-step explanation:

$\alpha + \beta = \sqrt{2} = - \frac{b}{a} \\ b = - a \sqrt{2}$

$\alpha \times \beta = - 12 = \frac{c}{a} \\ c = - 12a$

According to standard form of quadratic equation

ax²+bx+c=0

Put value above in this equation

ax²-aRoot2x-12a=0

divide all term by a

x²-Root2x-12=0

Mark as brainliest answer and follow me ☑️