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Given that 3 is a zero of the polynomial g of x equals x cubed plus x squared-4x-24 express g of x as a product of linear factors?
The Factor Theorem says (x − r) is a factor of a polynomial g(x) if and only if r is a root of g(x). Since 3 is a zero, we know g(x) can be divided by (x-3)
In fact, g(x)=(x-3)(x2 +4x+8)
The (x2 +4x+8) has no real roots, (rational roots theorem tells us this) but we can still write it as a product of linear factors using complex numbers.
Since (x+2-2i)(x+2+2i)=(x2 +4x+8)
we have g(x)=(x-3)(x+2-2i)(x+2+2i) which is a product of linear factor.
What else can I help you with?
What property of polynomial multiplication says that the product of two polynomials is always a polynomial?
Clouser
What is a factor in algebra?
A factor is one of two or more numerical or algebraic components of a product. **Note : 1.To factor a counting number means to break it down into its prime number factors. 2.To factor a polynomial is to find its prime polynomial factors, a basic procedure for solving algebraic equations.
Which property of polynomial multiplication says that the product of two polynomials is always a polynomial?
That property is called CLOSURE.
Sum and product of the zeros of a quadratic polynomial are -12 and -3 respectively what is the quadratic polynomial?
x2 + 15x +36
How is factoring a polynomial different from multiplying two binomials?
The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.
Use the grouping method to express the polynomial below as a product of its factors Write each factor as a polynomial in descending order 6x2 - 13x?
I think something's missing, but the answer is x(6x - 13)
Express the polynomial below as a product of its factors Use the caret to enter exponents 20x3 - 15x2?
20x3-15x2=8,000-225=7,775
What is a number written as a product of its factors called?
two factors is a binomial three factors is a trinomial four of more is a polynomial the product of any of these is just a polynomial
Polynomial as the product of one monomial factor and prime factors with at least two terms?
Factor
To write a polynomial as the product of 1 monomial factors and 2 prime factors with at least two terms?
Is sometimes possible, but not always.
How do you Express 44 as a product of prime factors?
2x2x11
What is 5610 as the product of prime factor?
express 5610 as the product of prime factors
What is express 90 of its prime factors?
As a product of its prime factors: 2*3*3*5 = 90
How do you Express 210 as a product of prime factors?
As a product of its prime factors: 2*3*5*7 = 210
Is the product of two polynomials always a polynomial?
Yes. A polynomial multiplying by a polynomial will always have a multi-termed product. Hope this helps!
Express 169 as a product of prime factors?
169 = 132
Express 50 as a product of its prime factors?
2x5x5
