The quadratic expression that cannot be factorized since we cannot find numbers that will add up to 8 and multiplied to get -22
For us to get the expression that is prime, we have to get the value quadratic expression that cannot be factored to get an integer.
For the first option, x² + 3x + 2
Factorize;
x² + 3x + 2
x² + 2x + x+ 2
x(x+2)+1(x+2)
(x+1)(x+2)
For the option B
x² + 8x + 7
x² + 7x + x + 7
x(x+7)+1(x+7)
(x+1)(x+7)
For the third option;
x² + 8x - 22
This quadratic expression cannot be factorized since we cannot find numbers that will add up to 8 and multiplied to get -22
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