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What is 2x to the third power plus 8x to the second power plus 3x plus 12 when factoring each polynomial by grouping?
Wiki User
∙ 10y ago
2x3 + 8x2 + 3x + 12 = (2x3 + 8x2) + (3x + 12)
= 2x2(x + 4) + 3(x + 4)
= (x + 4)(2x2 + 3)
Since you have asked this question I am assuming that you are not yet at a level where you might want (2x2 + 3) factorised into its imaginary factors.
Wiki User
∙ 10y ago
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What is the degree of this polynomial 3x to the 2nd power - 4x plus 9?
The highest power of the variable is 2, so it is a second degree polynomial.
What is a polynomial equation?
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A quadratic polynomial is a third-degree polynomial?
No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).
What is the difference between a polynomial and a quadratic equation?
A quadratic equation is of degree 2, that is, the highest power is 2. A polynomial is not an equation, however, you can convert it into an equation by setting the polynomial equal to zero for example. A polynomial EQUATION can be of any degree: 1, 2, 3, 4, etc.
How do you factor 27x to the 3rd power - 8?
The basic formula for factoring the difference between two perfect cubes is (a3 - b3) = (a - b)(a2 + ab + b2). Substituting the given polynomial yields (27x3 - 8) = (3x - 2)(9x2 + 6x + 4).
What is the degree of this polynomial 3x to the 2nd power - 4x plus 9?
The highest power of the variable is 2, so it is a second degree polynomial.
What is the name for a polynomial equation containing a variable to the second power?
A quadratic equation.
What is a polynomial equation?
A polynomial is an equation with more than 1 term. A term could be a constant, or a power of a variable (denoted by a letter, like x) times a constant. The order of the polynomial is determined by the highest power of the variable.A quadratic is a second order polynomial, because the highest power of x is x2.A first order polynomial has x1 (which is just x) as the highest power.
Negative 5x to the second power plus 6 plus x to the second power minus 1 plus five x to the second power?
It is a polynomial expression in x. What about it?
What makes a quadratic equation?
When the equation is a polynomial whose highest order (power) is 2. Eg. y= x2 + 2x + 10. Then you can use quadratic formula to solve if factoring is not possible.
A quadratic polynomial is a third-degree polynomial?
No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).
How do you identify the polynominal by name and degree of -8x2 -2x 8?
-8x2 - 2x + 8 this is a quadratic equation or a second order polynomial it is a second order polynomial because it has a term in x2 For every polynomial we name it according to the highest power term in the equation.......
What is the answer to factor the following polynomial x to the second power minus one?
(x + 1)(x - 1)
What do you know about the most possible number of zeros for a polynomial?
A polynomial can have as many 0s as its order - the power of the highest term.A polynomial can have as many 0s as its order - the power of the highest term.A polynomial can have as many 0s as its order - the power of the highest term.A polynomial can have as many 0s as its order - the power of the highest term.
What is this polynomial's degree?
The degree of a polynomial is the highest power of the variable.
Algorithm for addition of two polynomials using linked list?
Let p and q be the two polynomials represented by the linked list. 1. while p and q are not null, repeat step 2. 2. If powers of the two terms ate equal then if the terms do not cancel then insert the sum of the terms into the sum Polynomial Advance p Advance q Else if the power of the first polynomial> power of second Then insert the term from first polynomial into sum polynomial Advance p Else insert the term from second polynomial into sum polynomial Advance q 3. copy the remaining terms from the non empty polynomial into the sum polynomial.
What are the steps to solve these problems Find the degree of each polynomial 5a-2b2 plus 1 and 24xy-xy3 plus x2?
The degree of a polynomial function is the highest power any single term is raised to. For example, (5a - 2b^2) is a second degree function because the "b^2" is raised to the second power and the "a" is only raised to the (implied) first power. For (24xy-xy^3 + x^2) it is a third degree polynomial because the highest power is the cube of -xy.
