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What is zeros of the polynomial?
The zeros of a polynomial are the values of the variable for which the polynomial evaluates to zero. These values are also known as the roots or solutions of the polynomial equation. Finding the zeros is essential for understanding the behavior of the polynomial graph, including its intercepts with the x-axis. The zeros can be determined using various methods, such as factoring, the quadratic formula, or numerical techniques.
Formula for finding zeros of polynomial function?
Try the quadratic formula. X = -b ± (sqrt(b^2-4ac)/2a)
How you Find the quadratic polynomial whose zeros are 2 and -3?
To find the quadratic polynomial whose zeros are 2 and -3, we can use the fact that a polynomial can be expressed in factored form as ( f(x) = a(x - r_1)(x - r_2) ), where ( r_1 ) and ( r_2 ) are the zeros. Here, substituting ( r_1 = 2 ) and ( r_2 = -3 ), we have ( f(x) = a(x - 2)(x + 3) ). Expanding this, we get ( f(x) = a(x^2 + x - 6) ). For simplicity, we can choose ( a = 1 ), giving us the polynomial ( f(x) = x^2 + x - 6 ).
A second-degree polynomial is a quadratic polynomial?
Yes.
What type of polynomial is 2x2-6x 4?
A quadratic polynomial.
Sum and product of the zeros of a quadratic polynomial are -12 and -3 respectively what is the quadratic polynomial?
x2 + 15x +36
How do you find the zeros of any given polynomial function?
by synthetic division and quadratic equation
Formula for finding zeros of polynomial function?
Try the quadratic formula. X = -b ± (sqrt(b^2-4ac)/2a)
How you Find the quadratic polynomial whose zeros are 2 and -3?
To find the quadratic polynomial whose zeros are 2 and -3, we can use the fact that a polynomial can be expressed in factored form as ( f(x) = a(x - r_1)(x - r_2) ), where ( r_1 ) and ( r_2 ) are the zeros. Here, substituting ( r_1 = 2 ) and ( r_2 = -3 ), we have ( f(x) = a(x - 2)(x + 3) ). Expanding this, we get ( f(x) = a(x^2 + x - 6) ). For simplicity, we can choose ( a = 1 ), giving us the polynomial ( f(x) = x^2 + x - 6 ).
Is a quadratic polynomial a second-degree polynomial?
Yes.
A second-degree polynomial is a quadratic polynomial?
Yes.
A quadratic polynomial is a third-degree polynomial?
No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).
What type of polynomial is 2x2-6x 4?
A quadratic polynomial.
If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?
It will be a cubic polynomial.
True or false A second-degree polynomial is a quadratic polynomial?
true.
What type of polynomial is 7x2 - 5x plus 2?
It is a quadratic polynomial.
What do the zeros of a polynomial function represent on a graph?
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
