Question

State whether the following statements are true or false :
5 is one of the zeroes of the polynomial p (x) = 2x3 - 5x2 - 13x +30​

Answer 1

Answer:

Step-by-step explanation:

If it is a zero then..

2(5)³-5(5)²-13(5)+30=0

500-125-65+30=0

530-190=0

But 340 is not equal to zero

Therefore, false.

Answer 2

False, 5 is not one of the zeroes of the given polynomial.

Step-by-step explanation:

Given,

P(x) = 2$x^3$ - 5$x^2$ - 13x  + 30​

5 is one of the zeroes.

State 5 is one of the zeroes of the given polynomial. (True/ False)

∴ P(5) = 0, 5 is one of the zeroes of the polynomial.

2$(5)^3$- 5$(5)^2$- 13(5) + 30 = 0

⇒ 2(125) - 5(25) - 65 + 30 = 0

⇒ 250 - 125 - 65 + 30 = 0

⇒ 280 - 190 = 0

⇒ 280 - 190 = 0

⇒ 90 ≠  0

Thus, false, 5 is not one of the zeroes of the given polynomial.