ProblemSimplify the following expression. Write the polynomial expression in standard form.x2+6x+4x+9𝑥2+6𝑥+4𝑥+9 SolutionBegin by identifying any like terms you have. 6x6𝑥 and 4x4𝑥 both contain the variable x𝑥 raised to the 1st1𝑠𝑡 power (even though we don’t show it). They are like terms and can be combined.Now, combine the like terms:x2+𝑥2+ x+9𝑥+9We now have a simplified polynomial expression. Is the expression in standard form?Let’s check.The expression should be listed in decreasing degree order.Each term is listed in the correct order.This polynomial expression is in standard form as well.
Question
ProblemSimplify the following expression. Write the polynomial expression in standard form.x2+6x+4x+9𝑥2+6𝑥+4𝑥+9 SolutionBegin by identifying any like terms you have. 6x6𝑥 and 4x4𝑥 both contain the variable x𝑥 raised to the 1st1𝑠𝑡 power (even though we don’t show it). They are like terms and can be combined.Now, combine the like terms:x2+𝑥2+ x+9𝑥+9We now have a simplified polynomial expression. Is the expression in standard form?Let’s check.The expression should be listed in decreasing degree order.Each term is listed in the correct order.This polynomial expression is in standard form as well.
Solution 1
The problem is asking to simplify the polynomial expression and write it in standard form. The given expression is x^2 + 6x + 4x + 9.
Step 1: Identify like terms. In this case, 6x and 4x are like terms because they both contain the variable x raised to the 1st power.
Step 2: Combine like terms. Add 6x and 4x together to get 10x. So, the expression becomes x^2 + 10x + 9.
Step 3: Check if the expression is in standard form. A polynomial is in standard form when its terms are written in decreasing order of degree. Here, the degree of the terms from left to right are 2, 1, and 0, which are in decreasing order.
So, the simplified polynomial expression in standard form is x^2 + 10x + 9.
Solution 2
The problem is asking to simplify the polynomial expression and write it in standard form. The given expression is x^2 + 6x + 4x + 9.
Step 1: Identify like terms. In this case, 6x and 4x are like terms because they both contain the variable x raised to the 1st power.
Step 2: Combine like terms. Add 6x and 4x together to get 10x.
Step 3: Rewrite the expression with the combined like terms. The expression becomes x^2 + 10x + 9.
Step 4: Check if the expression is in standard form. A polynomial is in standard form when its terms are written in decreasing order of degree. In this case, the expression is in standard form because x^2 (degree 2) is written before 10x (degree 1) and 9 (degree 0).
So, the simplified polynomial expression in standard form is x^2 + 10x + 9.
Similar Questions
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