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When simplified and written in standard form which quadratic function is equivalent to the polynomial shown 2 plus 7c and ndash 4c2 and ndash 3c plus 4?
To simplify the polynomial ( -4c^2 + 7c + 2 - 3c + 4 ), first combine like terms. The ( c ) terms are ( 7c - 3c = 4c ), and the constant terms are ( 2 + 4 = 6 ). Thus, the simplified polynomial is ( -4c^2 + 4c + 6 ). In standard form, this quadratic function is written as ( -4c^2 + 4c + 6 ).
What polynomial lists the powers in descending order?
A polynomial that lists the powers in descending order is called a "standard form" polynomial. For example, the polynomial ( 4x^3 - 2x^2 + 7x - 5 ) is in standard form because the terms are arranged from the highest degree ( (4x^3) ) to the lowest degree ( (-5) ). This format makes it easier to analyze and perform operations with the polynomial.
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 2 -4 and 1 plus 3i?
To write a polynomial function with real coefficients given the zeros 2, -4, and (1 + 3i), we must also include the conjugate of the complex zero, which is (1 - 3i). The polynomial can be expressed as (f(x) = (x - 2)(x + 4)(x - (1 + 3i))(x - (1 - 3i))). Simplifying the complex roots, we have ((x - (1 + 3i))(x - (1 - 3i)) = (x - 1)^2 + 9). Thus, the polynomial in standard form is: [ f(x) = (x - 2)(x + 4)((x - 1)^2 + 9). ] Expanding this gives the polynomial (f(x) = (x - 2)(x + 4)(x^2 - 2x + 10)), which can be further simplified to the standard form.
What is 5x squared plus 7x plus 2?
The expression (5x^2 + 7x + 2) is a quadratic polynomial in standard form, where (5) is the coefficient of (x^2), (7) is the coefficient of (x), and (2) is the constant term. This polynomial can be used in various mathematical contexts, such as finding roots, graphing, or solving equations. To analyze it further, you could factor it or apply the quadratic formula if you need to find its roots.
What type of polynomial is 7x2 - 5x plus 2?
It is a quadratic polynomial.
When simplified and written in standard form which quadratic function is equivalent to the polynomial shown 2 plus 7c and ndash 4c2 and ndash 3c plus 4?
To simplify the polynomial ( -4c^2 + 7c + 2 - 3c + 4 ), first combine like terms. The ( c ) terms are ( 7c - 3c = 4c ), and the constant terms are ( 2 + 4 = 6 ). Thus, the simplified polynomial is ( -4c^2 + 4c + 6 ). In standard form, this quadratic function is written as ( -4c^2 + 4c + 6 ).
Express the polynomial x2 − x4 + 2x2 in standard form and then classify it?
2-3+9
What polynomial lists the powers in descending order?
A polynomial that lists the powers in descending order is called a "standard form" polynomial. For example, the polynomial ( 4x^3 - 2x^2 + 7x - 5 ) is in standard form because the terms are arranged from the highest degree ( (4x^3) ) to the lowest degree ( (-5) ). This format makes it easier to analyze and perform operations with the polynomial.
How do you solve this question A cylinder has a radius of 5x plus 3 and a height of 4x plus 2. which polynomial in standard form best describes the total volume of the cylinder?
Volume of cylinder: pi times (5x+3)^2 times (4x+2)
What is the complete factored form of the following polynomial 15j3 plus 30j2?
15j2(j + 2)
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 2 -4 and 1 plus 3i?
To write a polynomial function with real coefficients given the zeros 2, -4, and (1 + 3i), we must also include the conjugate of the complex zero, which is (1 - 3i). The polynomial can be expressed as (f(x) = (x - 2)(x + 4)(x - (1 + 3i))(x - (1 - 3i))). Simplifying the complex roots, we have ((x - (1 + 3i))(x - (1 - 3i)) = (x - 1)^2 + 9). Thus, the polynomial in standard form is: [ f(x) = (x - 2)(x + 4)((x - 1)^2 + 9). ] Expanding this gives the polynomial (f(x) = (x - 2)(x + 4)(x^2 - 2x + 10)), which can be further simplified to the standard form.
What is 5x squared plus 7x plus 2?
The expression (5x^2 + 7x + 2) is a quadratic polynomial in standard form, where (5) is the coefficient of (x^2), (7) is the coefficient of (x), and (2) is the constant term. This polynomial can be used in various mathematical contexts, such as finding roots, graphing, or solving equations. To analyze it further, you could factor it or apply the quadratic formula if you need to find its roots.
What type of polynomial is 7x2 - 5x plus 2?
It is a quadratic polynomial.
What is a cubic polynomial function in standard form with zeros 1 -2 and 2?
It is x^3 - x^2 - 4x + 4 = 0
What is 2 to the Th power plus 6 plus 4 to the 2 power in standard form?
If you mean: 2^6 plus 4^2 = 80 and in standard form it is 8.0*10^1
If the factors of a polynomial are x plus 2 and x plus 6 what values of x make that polynomial 0?
-2 and -6
What is a cubic polynomial in standard form with zeros -5 5 2?
x3 - 2x2 - 25x + 50 = 0
