Q. 24.1( 27 Votes )
If (x + 1) is a factor of polynomial f(x) = mx2 – x + 1. Find the value of m2.
Answer :
Given:
f(x) = mx2 – x + 1
(x + 1) is factor of f(x)
Concept Used:
The factor theorem states that a polynomial has a factor if and only if it is a root.
Or
If (x – a) is a factor of f(x), then f(a) = 0
Explanation:
x + 1 = 0
x = –1
f(–1) = m.(–1)2 + 1 + 1 = 0
m + 2 = 0
m = –2
m2 = (–2)2 = 4
Hence, m2 = 4
Rate this question :






















Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :
p(x) = x3 – 3x2 + 4x + 2 , g(x) = x – 1
KC Sinha - MathematicsDivide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :
p(x) = x3 – 3x2– x + 3, g(x) = x2 – 4x + 3
KC Sinha - MathematicsWhen a polynomial p(x) is divided by (2x + 1), is it possible to have (x - 1) as a remainder? Justify your answer.
RS Aggarwal - MathematicsDivide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :
p(x) = x4 + 2x3 – 3x2 + x – 1, g(x) = x – 2
KC Sinha - MathematicsFind all the zeroes of the polynomial given below having given numbers as its zeroes.
x4 – 6x3 – 26x2 + 138x – 35;2±√3
KC Sinha - MathematicsDivide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :
p(x) = x6 + 3x2 + 10 and g(x) = x3 + 1
KC Sinha - MathematicsDivide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :
p(x) = x4 + 1, g(x) = x + 1
KC Sinha - MathematicsVerify that are the zeroes of the cubic polynomial p(x) = 3x2 – 5x2 – 11x – 3 and then verify the relationship between the zeroes and the coefficients.
Find all the zeros of the polynomial, if two of its zeros are √3 and
.