FACTORING and RADICALS REVIEW

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FACTORING and RADICALS REVIEW ALGEBRA I @ FACTORING and RADICALS REVIEW

Ok, let’s start with the factoring stuff. Write each polynomial in Standard Form. Then, name the polynomial by degree and number of terms. 1) 3 + b3 + b2 ANSWER : b3 + b2 + 3; cubic trinomial 2) 9 – a3b4 ANSWER : -a3b4 + 9; seventh degree binomial

Simplify. Write your answer in Standard Form. (5x3 – 2x2 + 7) – (3x3 + 2x2 – 7x + 5) ANSWER : 2x3 – 4x2 + 7x + 2 Simplify each product. Write your answer in Standard Form. 4) 5a2(3a – 4) 5) (4x – 5)(7x + 2) ANSWER : 15a3 – 20a2 ANSWER : 28x2 – 27x - 10

Factor completely. 6) 3b4 – 9b2 + 6b 9) s2 – 20s + 100 ANSWER : 3b(b3 – 3b + 2) ANSWER : (s – 10)2 7) 21z2 – 70z + 49 10) g2 - 25 ANSWER : 7(3z – 7)(z -1) ANSWER : (g + 5)(g – 5) 8) x2 + 21x + 38 11) 6d4 + 4d3 – 6d2 – 4d ANSWER : (x + 19)(x + 2) ANSWER : 2d(d + 1)(d – 1) (3d + 2)

ALGEBRA I - FACTORING and RADICAL REVIEW 5/25/2019 ALGEBRA I - FACTORING and RADICAL REVIEW

Simplify each radical expression. ANSWER : -168sqrt(3) ANSWER : (3sqrt(2)) / 2 ANSWER : 45ab3sqrt(5) ANSWER : -2 – 10sqrt(15)

Riddle me this : I am an odd number; take away an alphabet and I become even. What number am I? ANSWER : seven (seven – s = even)