Type the correct answer in each box. Use numerals instead of words.
Simplify the following polynomial expression.
(5x2 + 133 – 4) - (17:2 + 74 - 19) + (50 – 7)(3x + 1)
1 2 -
+

Answer:

14

Step-by-step explanation:

The expression for the polynomial is A = 3x² - 10x + 8

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = ( 5x² + 13x - 4 ) - ( 17x² + 7x - 19 ) + ( 5x - 7 ) ( 3x + 1 ) = ax² - bx + c

Let's simplify the left-hand side of the equation using the distributive property and combining like terms:

A = (5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)

A = 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7

A = 3x² - 10x + 8

Now we have:

a = 3, b = -10, and c = 8

Hence , the final equation is A = 3x² - 10x + 8

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