Question

The sum and the product of zeroes of the polynomial p(x) are -7 and -10 respectively . then p(x) is:

Answer 1

Quadratic polynomial using sum and product of zeroes :- x^2 - sum(x) + product

Given :-

• sum = -7
• product = -10

Polynomial

= x^2 - (-7)x + (-10)

= x^2 + 7x - 10

•°• x^2 + 7x - 10 is the required polynomial.

Answer 2

GIVEN :-

A polynomial p(x) has two zeros whose sum is -7 and product is -10.

TO FIND :-

The polynomial p(x).

SOLUTION :-

• Sum of the zeros(S) = -7

• Product of the zeros(P) = -10

We know,

$\longrightarrow$ A quadratic equation is of the form :-

x² - S(x) + P

Putting the values,

The required polynomial = x² - (-7)x + (-10)

⇒The required polynomial = x² + 7x - 10