Question

# Find the zeros of the polynomial of ${{\text{x}}^{\text{2}}}{\text{ + 5x - 204}}$.

Verified
129.9k+ views
Hint: First of all split the middle term in such a way that the product of first and last term can be represented as addition or subtraction of its middle term.

Zeros of polynomial ${{\text{x}}^{\text{2}}}{\text{ + 5x - 204}}$
Hence factor of ${\text{ - 204 = (17)( - 12)}}$
${\text{ = }}{{\text{x}}^{\text{2}}}{\text{ + 17x - 12x - 204}} \\ {\text{ = x(x + 17) - 12(x + 17)}} \\ {\text{ = (x - 12)(x + 17)}} \\$
${\text{(x - 12)(x + 17) = 0}} \\ {\text{x = 12}} \\ {\text{x = - 17}} \\$
Hence , ${\text{(12, - 17)}}$ are zeros of the polynomial.