Question

check whether 3x-7 is a factor of polynomial 6x^3+x^2-26x-25?
1) Yes
2) No​

Answer 1

Answer:

No

3x-7 is not a factor of 6x^3+x^2-26x-25

Answer 2

Solution :

we need to check out whether 3x - 7 is a factor of given polynomial or not.

$\sf \: 3x - 7 = 0 \\ \sf \: 3x = 7 \\ \\ \sf \: x = \frac{7}{3} ........(1)$

• Substituting value of x in Given polynomial ;

>> 6x³ + x² - 26x - 25

>> 6 × (7/3)³ + (7/3)² - 26 × (7/3) - 25

>> 6 × 343/27 + 49/9 - 182/3 - 25

>> 2 × 343/9 + 49/9 - 182/3 - 25

>> (686 + 49 - 546 - 225)/9

>> (735 - 820)/9

>> -36/9

>> - 4

Hence,

• 3x - 7 is not a factor of given polynomial

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