Question

check whether the value of the x given against each polynomial is a zero of that polynomial or not :​

Answer 1

Answer:

Given polynomial:

• p(x) = x² - 5x + 4

Given value for x:

• 1 and 4 respectively

Explanation: To solve this question we have to put 1 and 4 respectively in the given polynomial at the place of x then if we get our final result as 0 then it is the zero and if we didn't get 0 then it is not a zero of the given polynomial.

Required solution:

~ Put x as 1 in the polynomial!

→ p(x) = x² - 5x + 4

→ p(1) = (1)² - 5(1) + 4

→ p(1) = 1 - 5 + 4

→ p(1) = 1 - 1

→ p(1) = 0

• Henceforth, 1 is the zero of given polynomial.

~ Put x as 4 in the polynomial!

→ p(x) = x² - 5x + 4

→ p(4) = (4)² - 5(4) + 4

→ p(4) = 16 - 20 + 4

→ p(4) = 16 - 16

→ p(4) = 0

• Henceforth, 1 is also the zero of given polynomial. $\:$

Henceforth, verified!