Write down the degree of following polynomials in x: 3 - 2x
Find the degree of the given algebraic expression ax2 + bx + c
We know that the degree is the term with the greatest exponent.
If x = 2 and x = 3 are zeroes of the quadratic polynomial x2 + ax + b, the values of a and b respectively are
Write the degree of each of the following polynomials: 1 / 2y7 - 12y6 + 48y5 - 10
3x3 - 2x - x + 3 is an example of
3x3 - 2x - x + 3 = 3x3 - 3x + 3 is an example of cubic polynomials. A cubic polynomial is a polynomial of degree 3. Since the highest degree is 3.
Let p(x) = ax2 + bx + c be a quadratic polynomial. It can have at most
The polynomial ax2 + bx + c has three terms. The first one is ax2, the second is bx, and the third is c. The exponent of the first term is 2. The exponent of the second term is 1 because bx = bx1. The exponent of the third term is 0 because c = cx0. Since the highest exponent is 2, therefore, the degree of ax2 + bx + c is 2. Since, the degree of the polynomial is 2, hence, the polynomial ax2 + bx + c can have zero, one or two zeroes. Hence, the polynomial ax2 + bx + c can have at most two zeros.
The zero of polynomial p(x) = 4x + 5 is:
To find the zero of a polynomial, we use f(x) = 0.
Then, 4x + 5 = 0 ⟹ 4x = −5 ⟹ x = -5 / 4
Hence, −5 / 4 is the zero of the polynomial 4x + 5.
Draw the graphs of y = x2 - x - 6 and find the zeroes in each case.
when x = −2; y = 4 + 2 − 6 = 0
when x = 3; y = 9 − 3 − 6 = 0
Assertion: Degree of a zero polynomial is not defined.
Reason: Degree of a non-zero constant polynomial is 0
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively: 0, 3
Find the variable of the linear polynomial t + 5.
Find the zero of the polynomial in each of the following in the following case: p(x) = x +
∴ -5 is zero of the polynomial
The variable in the quadratic polynomial t2 + 4t + 5 is
What must be subtracted from the polynomial 8x4 + 14x3 + x2 + 7x + (8 so that the resulting polynomial is exactly divisible by 4x2 - 3x + 2?
Thus, when 6x + 2 is subtracted from the given polynomial 8x4 + 14x3 + x2 + 7x + 8, then it will be divisible by 4x2 - 3x + 2.
Classify the following polynomial based on their degree: 3x2 + 2x + 1
where an, an−1,... a2, a1, a0. are constants and n is a natural number.
Let p(x) = 3x2 + 2x + 1
The degree of a polynomial is the highest power of x in its expression.
Constant (non-zero) polynomials, linear polynomials, quadratics, cubics and quartics are polynomials of degree 0, 1, 2 , 3 and 4 respectively.
Highest power of x in p(x) is = 2
Thus, the degree of p(x) is 2.
Hence, it is a quadratic polynomial.