Question

advance maths class 9 ex 2.3 question 3​

Answer 1

Question: Check whether 7 + 3x is a factor of $3x^3$ + 7x

Answer: No, since the remainder of the factor used is not = 0.

Step-by-step explanation:

Zero of 7+ 3x : 7+3x = 0

                       ⇒3x = -7

                       ⇒ x = $\frac{-7}{3}$

By using Factor theorem,

Let p(x) = $3x^3$ + 7x

 ⇒p( $\frac{-7}{3}$) = 0

     ⇒p( $\frac{-7}{3}$) = 3$(\frac{-7}{3})$³ + 7( $\frac{-7}{3}$)

     ⇒    0    =    3$(\frac{-343}{27} )$ + $\frac{-49}{3}$

     ⇒    0    =   $\frac{-343}{9}$  $\frac{-49}{3}$

     ⇒    0    = $\frac{-343-147}{9}$

     ⇒   0     ≠  $\frac{-490}{9}$

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