Question

If a and b are the zeros of the polynomial such that a+b=-6 and ab=-4 then write the quadratic polynomial

Answer 1

GIVEN:

Zeores of polynomial are a and b

Sum of zeroes a + b = -6

Product of zeroes = ab = -4

TO FIND:

Quadratic polynomial

SOLUTION:

The standard form of quadratic polynomial is,

x² - (sum of zeroes)x + (product of zeroes)

==> x² - (-6)x + (-4)

==> x² + 6x - 4

Therefore, the required polynomial is x² + 6x - 4

Answer 2

Answer:

• Sum of Zeroes (a + b) = – 6
• Product of Zeroes (ab) = – 4

$\underline{\bigstar\:\:\textsf{Standard Form of Quadratic Polynomial :}}$

$\dashrightarrow\tt\:\:x^2-(Sum\:of\:Zeroes)x+(Product\:of\: Zeroes)=0\\\\\\\dashrightarrow\tt\:\:x^2-(a+b)x+(ab)=0\\\\\\\dashrightarrow\tt\:\:x^2-(-\:6)x+(-\:4)=0\\\\\\\dashrightarrow\:\:\underline{\boxed{\tt x^2+6x-4=0}}$

⠀

$\therefore\:\underline{\textsf{Hence, Quadratic Polynomial is \textbf{(x ^\text2 + 6x - 4)}}}$