Question

find the product of zeros of the polynomial -2x*x+5x+10

Answer 1

Solution :

We have, Polynomial.

$\tt \mapsto- 2 {x}^{2} + 5x + 10.$

$\tt \mapsto 2 {x}^{2} - 5x - 10.$

Let Compare with General formula.

$\tt\dagger \: \: \: \: \: a {x}^{2} + bx + c.$

$\tt where \: as \: \red{a \neq 0.}$

Now,

• a = 2.
• b = -5.
• c = -10.

$\tt \dagger \: \: \: \: \: x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4a} }{2a}$

$\tt \mapsto x = \dfrac{ 5 \pm \sqrt{ {( - 5)}^{2} - 4 \times 2 \times - 10 } }{4}$

$\tt \mapsto x = \dfrac{ 5 \pm \sqrt{ {25 + 80} } }{4}$

$\tt \mapsto x = \dfrac{ 5 \pm \sqrt{ {105} } }{4}$

Therefore, the value of given polynomial be x = 5 + √105 /4 and x = 5 - √105 /4.

Answer 2

Explanation:

Solution :

We have, Polynomial.

2 {x}^{2} + 5x + 10.↦−2x

2

+5x+10.

\ 2 {x}^{2} - 5x - 10.↦2x

2

−5x−10.

Let Compare with