Question

Which are zeros of the following polynomial? 6x 2 - 11x - 10 = 0

Answer 1

Answer:

The zeros of the given polynomial  $6x^2-11x-10=0$ are $\frac{5}{2}$ and $\frac{-2}{3}$ .

Step-by-step explanation:

Consider the given polynomial,

$6x^2-11x-10=0$

We have to find the zeros of the given quadratic equation,

Solving using middle term splitting method,

-11x can be written as a sum of -15x and 4x and it will given product as -60.

The equation thus can be written as,

$6x^2-11x-10=0$

$\Rightarrow 6x^2+4x-15x-10=0$

$\Rightarrow 2x(3x+2)-5(3x+2)=0$

$\Rightarrow (2x-5)(3x+2)=0$

$\Rightarrow x=\frac{5}{2}$ and $\Rightarrow x=\frac{-2}{3}$

Zeros satisfies the polynomial , when we put them back in the equation, it must give result as zero.

Thus, the zeros of the given polynomial  $6x^2-11x-10=0$ are $\frac{5}{2}$ and $\frac{-2}{3}$

Answer 2

Hello,

0=6x²-11x-10=6x²-15x+4x-10=3x(2x-5)+2(2x-5)=(2x-5)(3x+2)

Zeroes are: x=5/2 and x=-2/3