Answered

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1. Which of the below is a binomial factor of thepolynomial shown?

1 Which Of The Below Is A Binomial Factor Of Thepolynomial Shown class=

Sagot :

The given polynomial is

[tex]\begin{gathered} 3x^2+11x+10^{} \\ \text{ By factoring completely, we obtain two paired factors 6 and 5,} \\ \text{ whose sum is 11 (the coefficient of x), and product 30 found from } \\ \text{ the product of the constant 10 and 3 (the coefficient of x}^2) \end{gathered}[/tex][tex]\begin{gathered} 3x^2+11x+10^{} \\ 3x^2+6x+5x+10 \\ 3x(x+2)+5(x+2) \\ (3x+5)(x+2) \end{gathered}[/tex]

Therefore, a binomial factor of the polynomial is (x + 2) [Option A]

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