Question

write quadratic polynomial the product and sum whose zeroes are -30/15 and -3/5​

Answer 1

here is your answer with step by step explanation

Answer 2

The quadratic polynomial is $P(x)=x^2+\frac{3}{5}x-2$.

Step-by-step explanation:

Given : Quadratic polynomial the product and sum whose zeroes are -30/15 and -3/5​.

To find : Write the quadratic polynomial ?

Solution :

The quadratic polynomial is given by,

$P(x)=k(x^2-(\text{sum of zeros})x+\text{product of zeros})$

Product of zeros $-\frac{30}{15}$

Sum of zeros $-\frac{3}{5}$

Substitute the values,

$P(x)=k(x^2-(-\frac{3}{5})x+(-\frac{30}{15}))$

$P(x)=k(x^2+\frac{3}{5}x-2)$

Put k=1,

$P(x)=x^2+\frac{3}{5}x-2$

Therefore, the quadratic polynomial is $P(x)=x^2+\frac{3}{5}x-2$.

#Learn more

Write a quadratic polynomial whose sum of zeros is 3 and product of zeros is 2​

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