If the polynomial (2x2 - 5z - 3) is to be divided by (x – 3), which of the following is the best solution? pasagot po pls need kopo talaga
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→ If the polynomial (2x2 - 5x - 3) is to be divided by (x – 3),then the remainder will be given by putting x=3, in the given polynomial, i.e.
→ 18-15-3
→ 0
It implies that the given polynomial is divisible by x-3.
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The value of z = 5
GIVEN: (2x² - 5z - 3) is divisible by (x-3)
TO FIND: The Suitable value of z
SOLUTION:
As we are given in the question,
The polynomial 2x² - 5z - 3 is completely divisible by x-3
Implying that,
When we put x = 3 in the given polynomial the solution of the polynomial will be 0.
Mathematically,
P(x) = 2x² - 5z - 3
Since x-3 is the solution.
We put, x=3 and equate the polynomial with zero.
Therefore,
P(3) = 2(3)² - 5z - 3
0 = 2(9) - 5z - 3
5z = 18 - 3
5z = 15
z = 15/3
z = 5
Therefore, the required value of z = 5.
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