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A quadratic polynomial has a degree of 2?

True Yes. Although the term 'quad' stands for four, a quadratic equation is a polynomial of second degree.


Once you have reduced a polynomial to a quadratic function you can always use the quadratic formula to finish the problem?

True


True or false When the polynomial in P(x) is divided by (x-a) the remainder equals P(a)?

False (apex)


A quadratic polynomial has a degree greater than 2?

true :) apex! * * * * * APEX gets it wrong - again! A quadratic polynomial has degree 2. Not greater than, nor less than but exactly equal to 2.


When you factor with tiles the height and the width of the rectangle are the factors of the polynomial. True or False?

True


A number A is a root of P(x) if and only if the remainder when dividing the polynomial by x plus a equals zero True or false?

True-APEX


Is a polynomial of degree zero is a constant term true or false?

True. A polynomial of degree zero is defined as a polynomial where the highest degree term has a degree of zero. This means that the polynomial is a constant term, as it does not contain any variables raised to a power greater than zero. Therefore, a polynomial of degree zero is indeed a constant term.


True or false An expression must have a monomial of degree 1 or higher to be a polynomial?

False. The height of the degree does not really matter in this case. There just have to be other monomials in the problem to be considered a polynomial. "Poly" means many.


Is it true that if two variables are not linearly correlated then they are not related?

false they can be related with quadratic equation as well


What is the Difference between true and false roots?

True roots are the actual solutions to an equation, meaning they satisfy the equation when substituted back in. False roots, on the other hand, may arise from the algebraic manipulation of an equation but do not satisfy it when checked. For example, if an equation is manipulated incorrectly, it might yield a false root that does not hold true upon verification. In the context of polynomial equations, true roots correspond to the x-values where the polynomial crosses the x-axis, while false roots do not have this geometric interpretation.


Is it false if a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?

No, it’s true. It’s the same as saying if 60 is divided by 2 and the remainder equals zero (no remainder, so it divides perfectly), 2 is a factor of 60.


What statement must be true of an equation before you can use the quadratic formula to find the solutions?

The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.