Math, asked by kglakshmi29, 1 day ago

a quadratic polynomial whose zeroes are 3 by 5 and minus one by two is

Answers

Answered by sushantpratap6
1

Answer:

here's your answer

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Answered by devanshu1234321
13

QUESTIONS-:

Find the quadratic equation whose zeroes are 5/2 and -1/2 .

EXPLANATION-:

If -:

→x=3/5 is a zero of the equation then-:

→x-3/5 is a factor os the equation .

Similarily  

→x+1/2 is also a factor .

Now we know that a quadratic equation is obtained by the product of its zeroes-:

Finding products-:

\rightarrow \bf\;(x-\frac{3}{5})(x+\frac{1}{2})\\\\\rightarrow \bf\;x^2+\frac{x}{2}-\frac{3x}{5}-\frac{3}{10}\\\\\rightarrow \bf\; x^2+\frac{5x-6x}{10}-\frac{3}{10}\\\\\longtrightarrow \bf\; \underline{\boxed{\bigstar\;\;\tt x^2-\frac{x}{10}-\frac{3}{10}\bigstar}}

∴The quadratic equation with zeroes as 3/5 and -1/2 is x²-x/10-3/10

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