Question

find the zero s of the quadratic polynomial and verify the relationship between the zero esand coefficient. 1) 4u^2+8u​

Answer 1

→Question:-

Find the Zeros of the Quadratic polynomial 4u²+8u and verify the relationship b/w the zeros and coefficient.

$\rule{200}{1}$

♦Given:-

p(x)=0

→4u²+8u=0

$\rule{200}{1}$

★Answer:-

•In the Equation,4u²+8u,we have 4 common taking 4 Common,Gives•

→4u²+8u=0

→4u(u+2)=0

★Now we have two zeros for the polynomial,p(x)★

$\rule{200}{1}$

Taking, 4u=0

→4u=0

→u=$\frac{0}{4}$

→u=0→ (α)

$\rule{200}{1}$

Taking, u+2=0

→u+2=0

→u=-2→ (β)

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★Verifying The relationship★

a=4,b=8,c=0

→α+β=$\frac{-b}{a}$

→0+(-2)=$\frac{\cancel{-8}}{\cancel{4}}$

→ -2=-2

✓Verified✓

$\rule{200}{1}$

a=4,b=8,c=0

→αβ=$\frac{c}{a}$

→0×(-2)=$\frac{0}{4}$

→ 0=0

✓Verified✓

$\rule{200}{8}$

Answer 2

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