Question

Find a quadratic polynomial whose zeroes are -5 and 17

Answer 1

Answer:

$x^{2}-12x-85$

Explanation:

Let us take α= -5 and β=17

To find the quadratic polynomial, we have the formula---

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

When we substitute the given values of α and β in this formula we get the quadratic equation.

Hope this clears your doubts.

Answer 2

Answer:

x²-12x-85

Explanation:

sum of zeroes=17-5=12

product of zeroes=(-5)(17)=(-85)

Skeletal Quadratic Equation:-

x²-(sum of zeroes)x+(product of zeroes)

x²-(12)x+(-85)

x²-12x-85