Question

if the sum and the product of thr zeros of a quadratic polynomial are 3 and -10 respectively find the quadratic polynomial.​

Answer 1

Answer:

quadratic polynomial is x²-3x+10

Step-by-step explanation:

$\alpha + \beta = 3 \\ \alpha \beta = - 10$

By the formula

$k(x {}^{2} - ( \alpha + \beta )x + \alpha \beta )$

substitute in the formula

k(x²-(3x)+(-10))

we know that k can any real number

k=1

the quadratic polynomial is x²-3x+10

Answer 2

Step-by-step explanation:

α+β=3

αβ=−10

By the formula

k(x {}^{2} - ( \alpha + \beta )x + \alpha \beta )k(x

2

−(α+β)x+αβ)

substitute in the formula

k(x²-(3x)+(-10)____follow