what is the formula to find the cubic polynomial?
150219
The cubic formula tells us the roots of a cubic polynomial, a polynomial of the form ax3 +bx2 +cx+d.
1064275
['B+C=A.', 'M⋅GCD(B,C) + N⋅GCD(B,C) = A.', '(M + N)⋅GCD(B,C) = A.']
238481
['#include<stdio.h>', '#include<math.h>', 'int main(){', 'float a,b,c;', 'float d,root1,root2;', 'printf("Enter quadratic equation in the format ax^2+bx+c: ");', 'scanf("%fx^2%fx%f",&a,&b,&c);', 'd = b * b - 4 * a * c;']
44111
To find the zeros of a polynomial by grouping, we first equate the polynomial to 0 and then use our knowledge of factoring by grouping to factor the polynomial. Next we use the zero-product property to evaluate the factored polynomial and hence obtain the zeros of the polynomial.
304143
["Convert all dimensions into feet (18” ÷ 12” = 1.5')", "Multiply length x width x height (16' x 4' x 1.5' = 96 cubic feet)", 'Divide (96 ÷ 27 = 3.56 cubic yards)']
893235
Step 1: To use the quadratic formula, the equation must be equal to zero, so move the –5 back to the left hand side. Step 2: Identify a, b, and c and plug them into the quadratic formula. In this case a = –3, b = 6, and c = 5. Step 3: Use the order of operations to simplify the quadratic formula.
873357
As with some quadratic equations, factoring a polynomial equation is one way to find its real roots. Recall the Zero Product Property from Lesson 5-3. You can find the roots, or solutions, of the polynomial equation P(x) = 0 by setting each factor equal to 0 and solving for x.
1315032
['Solution.', 'Step 1: Add or subtract the constant term to obtain an equation of the form x2+bx=c. ... ', 'Step 2: Use (b2)2 to determint the value that completes the square. ... ', 'Step 3: Add (b2)2 to both sides of the equation and complete the square.', 'Step 4: Solve by extracting roots.', 'Answer:']
227219
['multiply each term in one polynomial by each term in the other polynomial.', 'add those answers together, and simplify if needed.']
646799
in which a is nonzero. The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions).
706683
The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) .
1037381
Step 1: To use the quadratic formula, the equation must be equal to zero, so move the 7x and 6 back to the left hand side. Step 2: Identify a, b, and c and plug them into the quadratic formula. In this case a = 2, b = –7, and c = –6. Step 3: Use the order of operations to simplify the quadratic formula.
290984
['length(feet) × width(feet) × height(feet) = cubic feet(cf³)', 'length(inches) × width(inches) × height(inches) ÷ 1728 = cubic feet(cf³)', 'length(yards) × width(yards) × height(yards) × 27 = cubic feet(cf³)', 'length(cm) × width(cm) × height(cm) ÷ 28316.846592 = cubic feet(cf³)']
187927
Each term in a polynomial consists only of a number multiplied by variable(s) raised to a positive exponent. Positive integer exponent -- (Not a polynomial if it has a negative integer exponent.) Degree of the Term is the sum of the exponents of the variables. 2x 4y 3 4 + 3 = 7 7 is the degree of the term.
1410912
The zeros of the polynomial x2-2x-3 are =x(x-3)+(x-3)=(x-3)(x+1).
10259
["Δ=b2−4ac Δ = b 2 − 4 a c is the formula for a quadratic function 's discriminant.", 'If Δ is greater than zero, the polynomial has two real, distinct roots.', 'If Δ is equal to zero, the polynomial has only one real root.', 'If Δ is less than zero, the polynomial has no real roots, only two distinct complex roots.']
1105545
A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values of x for which the value of the polynomial is zero.