the sum of the zeroes of a quadratic polynomial is 2 and theirs product is -1/3 find the polynomial
Answers
EXPLANATION.
→ sum of zeroes of a quadratic polynomial
= 2.
→ products of zeroes of quadratic polynomial
= -1/3.
→ Formula of a quadratic polynomial.
→ x² - ( a + b)x + ab = 0
→ sum of zeroes of quadratic equation
a + b = -b/a
a + b = 2 .......(1)
→ products of zeroes of quadratic equation
ab = c/a
ab = -1/3 ......(2)
→ Put the value in equation.
→ x² - ( 2)x + (-1/3)
→ 3x² - 6x - 1 = 0
MORE INFORMATION.
→ D > 0 or [ b² - 4ac > 0 ]
roots are real and unequal.
→ D = 0 or [ b² - 4ac = 0 ]
roots are real and equal.
→ D < 0 or [ b² - 4ac < 0 ]
roots are imaginary.
Answer:
Question
the sum of the zeroes of a quadratic polynomial is 2 and theirs product is -1/3 find the polynomial
To find
Polynomial
Formula used
➡️ x² - ( a + b ) x + ab = 0
Answer
Equation 1
➡️Sum of zeroes of quardtic equation =
a+b = -b/a
a+b = 2
Equation 2
➡️ Product of zeroes of quardtic equation
ab = c/a
ab = -1/3
Putting values
➡️x² - (2)x +(-1/3)
➡️3x²- 6x - 1 = 0