Q. 2 B4.7( 3 Votes )
By using Factor Theorem, let us write whether g(x) is a factor of the following polynomials f(x).
f(x) = 2x3 + 9x2 – 11x – 30 and g(x) = x + 5
Answer :
Formula used.
If f(x) is a polynomial with degree n
Then (x – a) is a factor of f(x) if f(a) = 0
1st we find out zero of polynomial g(x)
x + 5 = 0
x = – 5
if f(x) is 2x3 + 9x2 – 11x – 30
then putting x = – 5 ;
f( – 5) = 2( – 5)3 + 9( – 5)2 – 11( – 5) – 30
= 2 × ( – 125) + 9 × (25) – 11x( – 5) – 30
= – 250 + 225 + 55 – 30
= 0
Conclusion.
∴ g(x) is a factor of f(x)
Rate this question :
Polynomial Identities31 mins
Zeros and Degrees of a Polynomial41 mins
Polynomial Identities in a Different Way43 mins
Methods to find zeroes of a polynomial 139 mins
Methods to find zeroes of a Polynomial-246 mins
How to avoid Polynomial Long Division when finding factors.40 mins
Concept of Zero & Degree of a Polynomial.54 mins
Champ Quiz | Geometrical Meaning of the Zeroes of a Polynomial38 mins
Let us calculate and write, which of the following polynomials will have a factor (x + 1)?
x4 + x3 – x2 + 4x + 5
West Bengal MathematicsIf (x + 1) and (x + 2) are two factors of the polynomial x3 + 3x2 + 2ax + b, then let us calculate and write the values of a and b.
West Bengal MathematicsLet us calculate and write, which of the following polynomials will have a factor (x + 1)?
x4 + x2 + x + 1
West Bengal MathematicsBy using Factor Theorem, let us write whether g(x) is a factor of the following polynomials f(x).
f(x) = 2x3 + 7x2 – 24x – 45 and g(x) = x – 3
West Bengal MathematicsBy using Factor Theorem, let us write whether g(x) is a factor of the following polynomials f(x).
f(x) = 2x3 + 9x2 – 11x – 30 and g(x) = x + 5
West Bengal MathematicsLet us factorise the following algebraic expressions:
3a (3a + 2c) – 4b (b + c)
West Bengal MathematicsBy using Factor Theorem, let us write whether g(x) is a factor of the following polynomials f(x).
f(x) = 3x3 + x2 – 20x + 12 and g(x) = 3x – 2
West Bengal MathematicsLet us calculate and write, which of the following polynomials will have a factor (x + 1)?
3 + 3x – 5x3 – 5x4
West Bengal Mathematics