Question

1. Show that x = 1 is a zero of the polynomial 3x3- 4x2 + 8x –7

Answer 1

Answer:

Step-by-step explanation:x=1

P(x)=3(1)3 - 4(1)2 + 8(1)- 7

=3-4+8-7

=-1+1

=0

Answer 2

Answer:

P(1)=0

Step-by-step explanation:

The given polynomial is 3x³-4x²+8x-7 .

Let P(x) = 3x³-4x²+8x-7

We have to show that x=1 is a zero of this polynomial.

That means P(1) should be zero .

It means if we put 1 in place of x, the value should be 0.

Putting 1 in place of x in the given polynomial,we get,

P(1)= 3(1)³-4(1)²+8×1-7

=3×1-4×1+8-7

=3-4+8-7

=3+8-4-7

=11-11

P(1)=0

Hence proved that x=1 is a zero of the polynomial.