27. Find the zeroes of the quadratic polynomial p (x) = 4x2 + 5/2x-3 and verify the
relationship between the zeroes and the coefficients of the polynomial.?
Answers
Answer:
explanation:P(X) = 4X²+5✓2X-3.
=> 4X²+6✓2X-✓2X-3.
=> 2✓2X(✓2X+3) -1(✓2X+3)
=> (✓2X+3) (2✓2X-1) = 0.
=> (✓2X+3) = 0 OR (2✓2X-1) = 0.
=> X = -3/✓2 OR X = 1/2✓2.
-3/✓2 and 1/2✓2 are the two zeros of the given polynomial.
If a is zero of a polynomial p(x) then (x – a) is a factor of p(x). The general form of linear polynomial is p(x) = ax+b, its zero is -ba -b a . i.e.x = -ba -b a or - Constant term Coefficient of x - Constant term Coefficient of x . General form of quadratic polynomial is ax²+ bx +c where a ≠ 0.
Just take it as example.
Answer:
Answer:
explanation:P(X) = 4X²+5✓2X-3.
=> 4X²+6✓2X-✓2X-3.
=> 2✓2X(✓2X+3) -1(✓2X+3)
=> (✓2X+3) (2✓2X-1) = 0.
=> (✓2X+3) = 0 OR (2✓2X-1) = 0.
=> X = -3/✓2 OR X = 1/2✓2.
-3/✓2 and 1/2✓2 are the two zeros of the given polynomial.
If a is zero of a polynomial p(x) then (x – a) is a factor of p(x). The general form of linear polynomial is p(x) = ax+b, its zero is -ba -b a . i.e.x = -ba -b a or - Constant term Coefficient of x - Constant term Coefficient of x . General form of quadratic polynomial is ax²+ bx +c where a ≠ 0.
Just take it as example.
Step-by-step explanation:
Hope this answer will help you.