Respuesta :
Answer:
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
- (x2 – 7)(x – 5)
- (x2 – 7)(x + 5)
- (x2 – 5)(x – 7) <<<CORRECT
- (x2 + 5)(x – 7)
Step-by-step explanation:
Edge 2021
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The correct option is A.
What are polynomials?
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
For the given expression x³ – 7x² – 5x + 35 the factorisation by grouping can be done as,
x³ – 7x² – 5x + 35
Take x² as common from the first two terms, while -5 as common from the last two terms,
= x²(x – 7) –5(x – 7)
Take (x–7) as the common term from the two terms,
= (x² – 5)(x – 7)
Hence, the correct option is A.
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