If x + 2 is a factor of x3 – 2ax2 + 16, then value of a is
A polynomial of degree ‘3’ is called
Solution of a quadratic equation x²+ 5x - 6 = 0
x²+ 5x - 6 = 0
x² - x + 6x - 6
x (x-1) + 6 (x-1)
(x-1) (x+6)
x = 1; x = -6
If 3 + 5 – 8 = 0, then the value of (3)3 + (5)3 – (8)3 is
3^3+5^3-8^3=27+125-512
=152-512
=-360
Solution of a quadratic equation x²+ 5x - 6 = 0
⇒ x²+ 5x - 6 = 0
⇒ x²+ 6x -x - 6 = 0
⇒ x(x+6) -1(x+6) = 0
⇒ (x-1) (x+6) = 0
⇒ x = 1, -6
If x + 2 is a factor of x3 – 2ax2 + 16, then value of a is
use factor theorem as x+2 is factor of
x³-2ax²+16 so put x = -2 and equate the equation to 0
so putting x = -2
(-2)³-2a(-2)²+16 =0
-8-8a+16=0
-8a = -8
a = 8/8= 1
So,
a = 1
Which of the following is not a quadratic polynomial?
P of x = ax, a is not equal to 0. find zeros of polynmial
p(x) = ax
p(x) = 0
ax = 0
x = 0/a
x = 0
{0 by something is equals to 0}
Therefore,0 is the zero of the polynomial.
Checking:-
p(0) = a(0)
= 0
Zero of the polynomial p(x) where p (x) = ax, a ≠ 0 is:
If x + 2 is a factor of x3 – 2ax2 + 16, then value of a is
If p(x) = 7 – 3x + 2x2 then value of p(-2) is:
p(-2) = 7 - 3(-2) + 2(-2)2
= 7+6+8 = 21
A linear polynomials has how many zeros
A linear polynomial has 1 zero.
A quadratic polynomial has 2 zeroes.
A cubic polynomial has 3 zeroes.
In general, any polynomial has as many zeroes as its degree.
If one of the factor of x2 + x – 20 is (x + 5). Find the other
Which of the following is a quadratic polynomial in one variable?
A cubic polynomial is a polynomial of degree …………
A cubic polynomial is a polynomial of degree 3. A univariate cubic polynomial has the form An equation involving a cubic polynomial is called a cubic equation. A closed-form solution known as the cubic formula exists for the solutions of an arbitrary cubic equation.
Find the value of the polynomial 6 – 4x + 3x2 at x = 3
Degree of zero polynomial is:
A zero polynomial is a polynomial in which all the coefficients are 0.
Let the polynomials highest power variable be x^n as per the above statement x^n = 0
Now, The degree of the zero polynomial is log0 which is undefined.
Hence. The degree of zero polynomial is undefined.
Zero of a zero polynomial is:
Zero of the zero polynomial is any real number.
e.g., Let us consider zero polynomial be 0(x-k), where k is a real number For determining the zero, put x-k = 0 ⇒ x = k Hence, zero of the zero polynomial be any real number.
What is the coefficient of x in x3 + 3x2 - 2x - 1
The degree of the polynomial x4 – 3x3 + 2x2 – 5x + 3 is:
The degree refers to the highest power of the polynomial. In this polynomial X has highest power 4.So the degree of polynomial is 4.
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