Question

p(x) = (x+3)(x-4)), x=4,x=3 Verify whether the expression is zeros of the polynomial indicated against them, or
not.

Answer 1

Hey there!

Zero of the polynomial is the value of the variable for which the polynomial becomes 0

Given polynomial p(x) = (x+3)(x-4)

Now, If x = 4
p(4) = (4+3)(4-4)
= 7 ( 0 )
= 0

If x = 3 .

p(3) = ( 3 + 3 )(3-4)
= 6 ( -1)
= -6

So, For x = 4 , the polynomial is zero. Therefore 4 is zero of the polynomial.

For x = 3 , the polynomial isn't zero so 3 is not zero of the polynomial.

Answer 2

Hi,


Answer: x= 4 is zero of p(x)
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x=3 is not a zero of p(x)

Solution:
➖➖➖

If x = a is a zero of given polynomial p(x), then polynomial must become zero on putting that value of x in it.

i.e. p(a) = 0

So, here if x =4 is a zero of polynomial

p(x) = (x+3)(x-4)

$p(4) = (4 + 3)(4 - 4) \\ \\ = 7 \times 0 \\ \\ = 0$
Thus x = 4 is a zero.

put x= 3

$p(3) = (3 + 3)(3 - 4) \\ \\ = 6 \times ( - 1) \\ \\ = - 6$
Thus p(3) ≠ 0,

So, it is not a zero of p(x) = (x+3)(x-4).

Hope it helps you.