consider -p^2+2p+24. Element the expression by grouping. First, the expression requirements to it is in rewritten together -p^2+ap+bp+24. To find a and also b, set up a device to be solved.

You are watching: Simplify the product. 8p(–3p2 + 6p – 2)

Since abdominal muscle is negative, a and also b have actually the the opposite signs. Since a+b is positive, the hopeful number has higher absolute value than the negative. List all such integer bag that give product -24.

8p(-3p2+6p-2) Final an outcome : -8p • (3p2 - 6p + 2) action by action solution : step 1 :Equation in ~ the finish of step 1 : 8p • (((0 - 3p2) + 6p) - 2) action 2 : action 3 :Pulling out choose terms : ...

3p2+16p+5=0 Two remedies were uncovered : ns = -5 p = -1/3 = -0.333 step by action solution : action 1 :Equation in ~ the end of action 1 : (3p2 + 16p) + 5 = 0 step 2 :Trying to factor by splitting ...

p = 5 ordisplaystyle- 12Explanation:Expanddisplaystyleleft(p+7
ight)^2 This expression i do not care displaystylep^2+left(p^2+2 imesp imes7+7^2
ight)=169 ...

36p2+63p+20 Final an outcome : (12p + 5) • (3p + 4) action by action solution : step 1 :Equation at the finish of step 1 : ((22•32p2) + 63p) + 20 step 2 :Trying to element by dividing the middle term ...

3r2-18r+24 Final an outcome : 3 • (r - 2) • (r - 4) action by action solution : action 1 :Equation at the finish of step 1 : (3r2 - 18r) + 24 step 2 : action 3 :Pulling out favor terms : 3.1 Pull the end ...

p2-6p+9=0 One systems was discovered : ns = 3 action by action solution : step 1 :Trying to variable by dividing the center term 1.1 Factoring p2-6p+9 The an initial term is, p2 its ...

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Consider -p^2+2p+24. Element the expression through grouping. First, the expression requirements to be rewritten as -p^2+ap+bp+24. To discover a and also b, set up a mechanism to be solved.

Since abdominal muscle is negative, a and also b have actually the the opposite signs. Due to the fact that a+b is positive, the hopeful number has greater absolute worth than the negative. List all such integer pairs that offer product -24.

Quadratic polynomial deserve to be factored utilizing the revolution ax^2+bx+c=aleft(x-x_1
ight)left(x-x_2
ight), where x_1 and also x_2 room the solutions of the quadratic equation ax^2+bx+c=0.

All equations that the type ax^2+bx+c=0 can be addressed using the quadratic formula: frac-b±sqrtb^2-4ac2a. The quadratic formula offers two solutions, one as soon as ± is addition and one once it is subtraction.

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Factor the original expression making use of ax^2+bx+c=aleft(x-x_1
ight)left(x-x_2
ight). Instead of -4 for x_1 and 6 because that x_2.

left< eginarray together l 2 & 3 \ 5 & 4 endarray
ight> left< eginarray l l together 2 & 0 & 3 \ -1 & 1 & 5 endarray
ight>

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