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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 ).
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 type of polynomial is 7x2 - 5x plus 2?
It is a quadratic polynomial.
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
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
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 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
What is a cubic polynomial in standard form with zeros -5 5 2?
x3 - 2x2 - 25x + 50 = 0
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
When a polynomial is arranged in the exponents decrease from left to right?
When a polynomial is arranged with the exponents decreasing from left to right, it is said to be in standard form. This arrangement helps in easily identifying the leading term and degree of the polynomial, which are crucial for understanding its behavior and graph. For example, a polynomial like (4x^3 + 2x^2 - x + 5) is in standard form because the exponents (3, 2, 1, 0) decrease sequentially.
What is the degree of this polynomial 3x2 - 4x plus 9?
The degree of this polynomial is 2.
