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 ).
No.
A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.
Oh honey, a quadratic function is a function whose rule is a polynomial of degree 2. It's like the middle child of polynomials - not too simple, not too complex, just right. So next time you see that squared term, you know you're dealing with a quadratic function, sweetie.
false
false
A polynomial of degree 2.
No.
A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.
True
Oh honey, a quadratic function is a function whose rule is a polynomial of degree 2. It's like the middle child of polynomials - not too simple, not too complex, just right. So next time you see that squared term, you know you're dealing with a quadratic function, sweetie.
by synthetic division and quadratic equation
They are both polynomial functions. A quadratic is of order 2 while a cubic is of order 3. A cubic MUST have a real root, a quadratic need not.
false
false
Yes, but in this case, the coefficients of the polynomial can not all be real.
A quadratic function can intersect the x-axis at most two times. This is because a quadratic function is represented by a polynomial of degree 2, and according to the Fundamental Theorem of Algebra, a polynomial of degree ( n ) can have at most ( n ) real roots. Since the degree is 2 for a quadratic function, it can have either two distinct real roots, one repeated real root, or no real roots at all, leading to a maximum of two x-axis intersections.
Try the quadratic formula. X = -b ± (sqrt(b^2-4ac)/2a)