Respuesta :
Answer:
the first one is: (x-2)(x+7)
the second one is: (x-2)(x-8)
I had this question and got it right.
The factor of given polynomial are (x+7),(x-2) and (x-2),(x-8) respectively.
[tex]x^{2} +5x-14=0[/tex][tex]x^{2} -10x+16=0[/tex]To factorize the polynomial with two terms, we have to find the GCF of the terms and take the common factor out.
[tex]x^{2} +5x-14=0\\[/tex]
Now, we will take the multiply of 14, and we get;
[tex]x^{2}+ 7x-2x-14=0[/tex]
Now, we will take common;
[tex]x(x+7)-2(x+7)=0[/tex]
[tex](x+7)(x-2)=0[/tex]
Therefore, the factors of [tex]x^{2} +5x-14=0\\[/tex] are (x+7) and (x-2).
Now, the other polynomial is [tex]x^{2} -10x+16=0[/tex]
[tex]x^{2} -10x+16=0[/tex]
Now, we will take the multiply of 16, and we get;
[tex]x^{2} -8x-2x+16=0[/tex]
Now, we will take common;
[tex]x(x-8)-2(x-8)=0[/tex]
[tex](x-2)(x-8)=0[/tex]
Therefore, the factors of [tex]x^{2} -10x+16=0[/tex] are (x-2) and (x-8).
What is a polynomial with example?
Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.
What is a polynomial ?
A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power (such as a + bx + cx2) polynomial.
What is polynomial and non polynomial?
The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations.
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