Write the polynomial in standard form. Then classify the polynomial by degree and by number of terms. 5x^2+9x^2-7x^2 Write the polynomial in standard form. square (Simplify your answer.) Classify the polynomial. The polynomial is a square square

Question

Question

Write the polynomial in standard form. Then classify the polynomial by degree and by number of terms. 5x^2+9x^2-7x^2 Write the polynomial in standard form. square (Simplify your answer.) Classify the polynomial. The polynomial is a square square

Answer 1

1. \(7x^2\) 2. Quadratic 3. Monomial

Answer 2

## Step1 The given polynomial is \(5x^2 + 9x^2 - 7x^2\). To simplify this, we combine like terms. ## Step2 The like terms in this polynomial are \(5x^2\), \(9x^2\), and \(-7x^2\). ## Step3 We add and subtract these like terms. ### \(5x^2 + 9x^2 - 7x^2 = 7x^2\) ## Step4 The simplified polynomial is \(7x^2\). ## Step5 To classify the polynomial by degree, we look at the exponent of the variable \(x\). In this case, the exponent is 2, which makes the degree of the polynomial 2. ## Step6 The degree of the polynomial is 2, which is referred to as a "Quadratic" Polynomial. ## Step7 To classify the polynomial by the number of terms, we count the number of terms in the simplified polynomial. There is only one term, \(7x^2\), in the simplified polynomial. ## Step8 Since there is only one term, the polynomial is classified as a "Monomial".

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Write the polynomial in standard form. Then classify the polynomial by degree and by number of terms. 5x^2+9x^2-7x^2 Write the polynomial in standard form. square (Simplify your answer.) Classify the polynomial. The polynomial is a square square

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