Find the zeroes of the quadratic polynomial p (x)=x square +x-12 and verify the relationship between the zeroes and the coefficients
Answers
Answer:
I hope this helped you
do leave a response
Given : p(x) = x² + x - 12
To Find : zeroes of the quadratic polynomial
verify the relationship between the zeroes and the coefficients
Solution:
p(x) = x² + x - 12
x² + x - 12 = 0
=> x² + 4x - 3x - 12 = 0
=> x (x + 4) - 3(x + 4) = 0
=> (x - 3)(x + 4) = 0
Zeroes are 3 , - 4
Sum of zeroes = 3 - 4 = - 1
Product of zeroes = 3(-4) = - 12
ax² + bx + c = 0
product of zeroes = c/a
sum of zeroes = - b/a
comparing x² + x - 12 = 0 with ax² + bx + c = 0
a = 1 , b = 1 , c = - 12
product of zeroes = -12/1 = - 12
sum of zeroes = - 1/1 = - 1
relationship between the zeroes and the coefficients verified
Learn More:
If the zeros of the polynomial x3 - ax2 + bx - c are A.P, then show that ...
brainly.in/question/2833140
Find the zeroes of the Quadratic polynomial x2 + rx + 10 and verify ...
brainly.in/question/14949572
the sum of the zeroes of the polynomial 3x^2-10x +3 is - Brainly.in
brainly.in/question/23186627