Question

of x and 8 are the zeros of the quadratic polymorial
(x) x²+x-2 find the value of 2-3​

Answer 1

♦Given:-

P(x)=x²+x-2

$\rule{200}{1}$

★To Find:-

The Zeros of the Polynomial-- P(x)

$\rule{200}{1}$

⊗Proof:-

•x²+x-2=0

S=1[Sum of Equation]

P=-2[Product of Equation]

2×-1=-2

2+(-1)=1

★Since we Have two Common factors we can factorize the equation by Spiliting the Middle Term★

→x²+2x-x-2=0

→x(x+2)-1(x+2)=0

→x-1=0

→x+2=0

$\rule{200}{1}$

•Taking,x-1=0

→x-1=0

→x=1

$\rule{200}{1}$

•Taking,x+2=0

→x+2=0

→x=-2

$\rule{200}{1}$

♦x= $\mathcal{\green{\underline{\blue{-2 \ and \ 1}}}}$

Answer 2

$\mathfrak{\huge{\pink{ANSWER}}}$