Factorize the expression 40 + 3x - x².
Factorize the expression 40 + 3x - x².
Aniket Singh , 8 Months ago
Grade
10 grade maths> Factorize the expression 40 + 3x - x²....
1 AnswersAskiitians Tutor Team
To factor the expression \(40 + 3x - x^2\), we first rearrange it into a standard quadratic form:
Rearranging the Expression
The expression can be rewritten as:
-x² + 3x + 40
For easier factoring, we can factor out -1:
- (x² - 3x - 40)
Finding Factors
Next, we need to factor the quadratic \(x² - 3x - 40\). We look for two numbers that multiply to -40 and add to -3. The numbers -8 and 5 fit this requirement:
- -8 × 5 = -40
- -8 + 5 = -3
Factoring the Quadratic
Using these numbers, we can express the quadratic as:
(x - 8)(x + 5)
Final Factored Form
Now, substituting back, the complete factorization of the original expression is:
- (x - 8)(x + 5)
Summary
The factored form of the expression \(40 + 3x - x²\) is:
- (x - 8)(x + 5)
Approved Last Activity: 8 Months ago
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