element the expression by grouping. First, the expression needs to be rewritten together -x^2+ax+bx+48. To find a and also b, set up a system to it is in solved.

You are watching: Which of the following is a factor of x2 + 2x − 48?

Since abdominal is negative, a and b have actually the opposite signs. Since a+b is negative, the an adverse number has better absolute worth than the positive. Perform all together integer pairs that give product -48.

not factorableExplanation: \displaystyleD=b^2-4ac=400-192=208 because D is no a perfect square, this trinomial can't it is in factored.

-x2+2x+48 Final result : (x + 6) • (8 - x) action by step solution : action 1 :Trying to element by separating the middle term 1.1 Factoring -x2+2x+48 The very first term is, -x2 its coefficient ...

how do you discover the discriminant the \displaystylex^2-2x+4=0 and also use the to recognize if the equation has one, two genuine or two imaginary roots?

https://socratic.org/questions/how-do-you-find-the-discriminant-of-x-2-2x-4-0-and-use-it-to-determine-if-the-eq

watch below.Explanation:To uncover the discriminant you take the radical (root) of the quadratic formula and also insert the values you recognize from her standard form equation and simplify.One genuine root:\displaystyleD=0 ...

exactly how do you solve and also write the complying with in expression notation: \displaystylex^2-2x+4>0 ?

https://socratic.org/questions/how-do-you-solve-and-write-the-following-in-interval-notation-x-2-2x-4-0

inequality constantly true.Explanation: \displaystylef\left(x\right)=x^2-2x+4>0\displaystyleD=d^2=b^2-4ac=4-16=-12{

\displaystyle-x^2-2x+63=-\left(x-7\right)\left(x+9\right) Explanation: \displaystyle-x^2-2x+63 element out the negative sign. \displaystyle-\left(x^2+2x-63\right) ...

-x2-2x+8=0 Two solutions were uncovered : x = 2 x = -4 action by action solution : step 1 : step 2 :Pulling out choose terms : 2.1 pull out prefer factors : -x2 - 2x + 8 = -1 • (x2 + 2x ...

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Factor the expression by grouping. First, the expression needs to be rewritten as -x^2+ax+bx+48. To discover a and also b, collection up a system to be solved.

Since abdominal muscle is negative, a and b have the the contrary signs. Since a+b is negative, the negative number has greater absolute worth than the positive. List all together integer pairs that provide product -48.

Quadratic polynomial have the right to be factored making use of the revolution ax^2+bx+c=a\left(x-x_1\right)\left(x-x_2\right), where x_1 and x_2 room the remedies of the quadratic equation ax^2+bx+c=0.

All equations of the form ax^2+bx+c=0 have the right to be solved using the quadratic formula: \frac-b±\sqrtb^2-4ac2a. The quadratic formula provides two solutions, one as soon as ± is addition and one as soon as it is subtraction.

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Factor the original expression using ax^2+bx+c=a\left(x-x_1\right)\left(x-x_2\right). Substitute -8 for x_1 and also 6 because that x_2.