The quadratic expression when ( x - 2) ( x - 7 ) is multiplied is x² - 9x + 14.
A polynomial of degree two or a quadratic polynomial that has two as the highest exponent of the variable. A quadratic polynomial will typically have the following form: p(x): ax² + bx + c, a ≠ 0.
A coefficient is a multiplicative factor in a polynomial term, a series term, or an expression; it often has the form of a number but can also take the form of any expression.
When an expression ( x - r )( x - s ) is multiplied, where r and s are integers, we obtain a quadratic polynomial.
Therefore, when ( x - 2 )( x - 7 ) is multiplied we get:
( x - 2 )( x - 7 ) = x( x - 7 ) - 2( x - 7 )
( x - 2 )( x - 7 ) = x² - 7x - 2x + 14
( x - 2 )( x - 7 ) = x² - 9x + 14
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