Answer :
Certainly! Let's find the value of the polynomial [tex]\( p(x) = 4x^2 - 3x + 7 \)[/tex] for [tex]\( x = 1 \)[/tex].
Step 1: Start with the polynomial [tex]\( p(x) = 4x^2 - 3x + 7 \)[/tex].
Step 2: Substitute [tex]\( x = 1 \)[/tex] into the polynomial.
So, we have:
[tex]\[ p(1) = 4(1)^2 - 3(1) + 7 \][/tex]
Step 3: Calculate each term individually.
[tex]\[ 4(1)^2 \][/tex] simplifies to [tex]\( 4 \cdot 1 = 4 \)[/tex].
[tex]\[ -3(1) \][/tex] simplifies to [tex]\( -3 \)[/tex].
So, the expression becomes:
[tex]\[ p(1) = 4 - 3 + 7 \][/tex]
Step 4: Add the constants together.
[tex]\[ 4 - 3 + 7 = 1 + 7 = 8 \][/tex]
Therefore, the value of the polynomial at [tex]\( x = 1 \)[/tex] is [tex]\( 8 \)[/tex].
Step 1: Start with the polynomial [tex]\( p(x) = 4x^2 - 3x + 7 \)[/tex].
Step 2: Substitute [tex]\( x = 1 \)[/tex] into the polynomial.
So, we have:
[tex]\[ p(1) = 4(1)^2 - 3(1) + 7 \][/tex]
Step 3: Calculate each term individually.
[tex]\[ 4(1)^2 \][/tex] simplifies to [tex]\( 4 \cdot 1 = 4 \)[/tex].
[tex]\[ -3(1) \][/tex] simplifies to [tex]\( -3 \)[/tex].
So, the expression becomes:
[tex]\[ p(1) = 4 - 3 + 7 \][/tex]
Step 4: Add the constants together.
[tex]\[ 4 - 3 + 7 = 1 + 7 = 8 \][/tex]
Therefore, the value of the polynomial at [tex]\( x = 1 \)[/tex] is [tex]\( 8 \)[/tex].
