Question

33.
If two zeroes of polynomial P(x) = 2x4 + 10x3 + 5x2 – 35x – 42 are -3
and -2.
​

Answer 1

Step-by-step explanation:

I hope this would be helpful

Answer 2

± √(7/2) are other zeroes of P(x) = 2x⁴ + 10x³+ 5x² – 35x – 42 if Two zeroes are - 3 & - 2

Step-by-step explanation:

Two zeroes of polynomial P(x) = 2x⁴ + 10x³+ 5x² – 35x – 42 are -3 and -2.

(x + 3)(x + 2) are factor

= x² + 5x + 6

                           2x² - 7

                      ______________________

x² + 5x + 6   _| 2x⁴ + 10x³+ 5x² – 35x – 42 |_

​                         2x⁴  + 10x³  + 12x²

                       ____________________

                                          -7x² - 35x - 42

                                           -7x² - 35x - 42

                                            ___________

                                                       0

2x⁴ + 10x³+ 5x² – 35x – 42  = (x + 3)(x + 2)  (2x² - 7)

2x² - 7 = 0

=> x² = 7/2

=> x  = ± √(7/2)

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