Question

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

${\large{\pmb{\sf{\underline{RequirEd \; Solution...}}}}}$

Given that:

⋆ We have to show that x = 1 is the zero of given polynomial that is 3x³-4x²+8x-7

Full Solution:

~ Whenever, the question says that we have to show that the given term is zero of polynomial or not then we have to use the given value at the place of given variable. Means, we have to imply the variable's value as here in the question is its said that x = 1 so we have to put 1 at the place of x in the given polynomial. Let's see how to solve this question!

~ Putting 1 as x in 3x³-4x²+8x-7

➟ 3x³-4x²+8x-7

➟ 3(1)³ - 4(1)² + 8(1) - 7

➟ 3(1) - 4(1) + 8(1) - 7

➟ 3 - 4 + 8 - 7

➟ -1 +1

➟ 0

• We get our final result as 0. What 0 indicates? If we are getting zero while solving this type of questions then this means that the given number is the zero of given polynomial.

• Henceforth, showed that x = 1 is the zero of the given polynomial that is 3x³-4x²+8-7!!

${\large{\pmb{\sf{\underline{AdditioNal \: information...}}}}}$

What about linear polynomial?

• Linear polynomial are that polynomials whose highest degree is one.

What about quadratic polynomial?

• Quadratic polynomial are that polynomials whose highest degree is two.

What about cubic polynomial?

• Cubic polynomial are that polynomials whose highest degree is three.