Question

verify zeros of the polynomial g(x)=2(x)2+x-1 , x= -1/2​

Answer 1

Answer:

VERIFY ZEROS OF GIVEN POLYNOMIAL ,

POLYNOMIAL IS =》

G(X) = 2 x² + x - 1

ZERO IS X = -½

=》 PUT X = -½ , IN POLYNOMIAL,

=》 G(-½) = 2 (-½)² - ½ - 1

=》 G(-½) = -1

SO , X = -½ IS NOT A ZERO OF GIVEN POLYNOMIAL.

LET'S FIND ZEROS =>

=》 2 x² + x - 1 = 0

=》 2 x² - x + 2x - 1 = 0

=》 x ( 2 x - 1 ) + 1 ( 2 x - 1 ) = 0

=》 (x + 1) (2 x - 1 ) = 0

=》 x = -1 , x = -½

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